Department of Physics · 2019-05-12 · Syllabus for 5-year Integrated B. Sc. -M. Sc. Physics Programme, Physics Department, CUK Semester-IX No Course code Title of the Course Course

Syllabus for 5-year Integrated B. Sc. -M. Sc. Physics Programme, Physics Department, CUK

Department of Physics School of Physical & Chemical Sciences

Central University ofKashmir, Srinagar

Course Scheme for 4th and 5th year of 5 years Integrated B.Sc.- M.Sc.Physics Programme Department of Physics, Central University of Kashmir.

1


Semester-VII

S. No Course Code Course Title Course type

Credits Max Marks

CIA External

Core Courses

1 PHY-CC-701 Mathematical Physics-I C 4 40 60

2 PHY-CC-702 Classical Mechanics C 4 40 60

3 PHY-CC-703 Quantum Mechanics-II C 4 40 60

4 PHY-CC-704 M. Sc. Lab-I C 4 40 60

Discipline Specific Elective

5 PHY-DSE-701

Analog& digital Electronics

DSE 4 40 60

Open Elective

6 PHY-OE-701 Open Elective: Shall be chosen from the basket

OE 4 40 60

Semester-VIII

S. NoCourse code Course Title

Course type Credits

Max Marks CIA External

Core Courses

1 PHY-CC801 Mathematical Physics-II C 4 40 60

2 PHY-CC802 Classical Electrodynamics C 4 40 60

3 PHY-CC803 Nuclear Models & Reactions

C 4 40 60

4 PHY-CC804 M.Sc. Lab-II C 4 40 60


5 PHY-DSE-801 Solid State Physics-II DSE 4 40 60

Open Elective

6 PHY-OE-801 Open Elective: Shall be chosen from the basket

OE 2+2 40 60

2


Semester-IX

No Course code Title of the Course Course type

Credits


Core Courses

1 PHY-CC901 Advanced Statistical Mechanics

C 4 40 60

2 PHY-CC902 Atomic & Molecular Physics

C 4 40 60

3 PHY-CC903 Advanced Quantum Mechanics

C 4 40 60

4 PHY-CC905 M. Sc. Lab-III C 4 40 60


5 PHY-DSE-901 ANP-I/CMP-I/ST-I (GTR)

DSE 4 40 60

Project Work

6 PHY-SCP-901 Project Work-I SCP 4 40 60

Semester-X

No Course code Title of the Course Course type

Credits


Core Courses

1 PHY-CC-1001 Quantum Field Theory C 4 40 60

2 PHY-CC-1002 Group Theory & Particle Physics

C 4 40 60

3 PHY-CC-1003 Astronomy & Astrophysics

C 4 40 60

4 PHY-CC-1005 Laser and Fiber Optics C 4 40 60


5 PHY-DSE-1004 ANP-2/CMP-2/ST-2 DSE 4 40 60

Project Work

6 PHY-SCP-1001 Project Work-II SCP2 4 40 60

3


M. Sc. Physics – Semester-I

Course Code: PHY-CC-701 Course Title : Mathematical Physics-ICredits: 04 Lectures: 64

UNIT-I

Ordinary Differential Equations: Introduction, First-Order Equations, ODEs withConstant Coefficients, Second-Order Linear ODEs, Series Solutions—Frobenius’Method, Other Solutions, Inhomogeneous Linear ODEs, Nonlinear DifferentialEquationsSturm-Liouville Theory: Introduction, Hermitian Operators, ODE EigenvalueProblems, Variation Method, Eigenvalue Problems

UNIT-II

Partial Differential Equations: Introduction, First-Order Equations, Second-OrderEquations, Separation of Variables, Laplace and Poisson Equations, Wave Equation,Heat-Flow, or Diffusion PDEGreen’s Functions: One-Dimensional Problems, Problems in Two and ThreeDimensions

UNIT-III

Special functions : Bessel Functions of the First Kind, Jν (x), Generating Function,Recurrence Relations, Orthogonality, Neumann Functions, Hankel Functions ,Modified Bessel Functions, Iν (x) and Kν (x), Asymptotic Expansions,SphericalBessel Functions

Legendre Differential Equation, Legendre Functions, Generating Function,Recurrence Relations, Orthogonality, Alternate Definitions, Associated LegendreFunctions, Spherical Harmonics, Orbital Angular Momentum Operators, AdditionTheorem for Spherical Harmonics, Legendre Functions of the Second Kind, VectorSpherical Harmonic

UNIT-IV

Hermite Differential Equation, Hermite Functions, Generating Function, RecurrenceRelations, Orthogonality,

Laguerre Differential Equation, Laguerre Functions, Generating Function,Recurrence Relations,

Text: Books:

1. Mathematical Methods for Physicists, A Comprehensive Guide, George ArfkenHans Weber Frank E. Harris,

Reference Books: 2. Introduction to Probability and Statistics for Engineers and Scientists by S.M.

Ross3. Advanced Engineering Mathematics - Erwin Kreyszig , JOHN WILEY .4. Abramowitz, M., and I. A. Stegun, eds., Handbook of Mathematical Functions,

U.S.National Bureau of Standards A964); Dover, New York A965).

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https://books.google.co.in/books/about/Advanced_Engineering_Mathematics.html?id=UnN8DpXI74EC


Course Code: PHY-CC-702 Course Title : Classical MechanicsCredits: 04 Lectures: 64

UNIT-I

Lagrangian formulation: degrees of freedom, constraints, Problems involving systems withnon-holonomic constraints. Two Body Central Force Problem: Equivalent one body problemand effective potential; classification of orbits; differential equation for orbits; integrablepower law potentials; conditions for closed and stable orbits, Bertrand’s theorem, VirialTheorem, Laplace-Runge-Lenz Vector.

UNIT-II

Lagrange’s equations of motion for a rigid body; Euler’s equations of motion Hamilton’sEquations of Motion: Legendre transformation; Hessian determinant; Hamiltonian and itsphysical significance; Hamilton’s action and the principle of least action;Hamilton’sequations of motion and applications; action as a function and Maupertuis principle;conservation theorems; cyclic coordinates and Routh’s procedure.

UNIT-III

Rigid Body Dynamics: Degrees of freedom; space-fixed and body-fixed set of axes andorthogonal transformations; Euler’s angles; Euler’s theorem on the motion of a rigidbody;infinitesimal rotations. Moments of inertia; eigenvalues of the inertia tensor andprincipal axes transformations;. Force free motion of a rigid body; heavy symmetrical topwith one point fixed; precession and nutation; Larmor precession; gyroscope andasymmetrical top.

Theory of Small Oscillations: Formulation of the problem; eigenvalue equations; frequenciesof free vibrations and normal coordinates; forced vibrations and the effect of dissipativeforces; simple examples.

UNIT-IV

Canonical Transformations: Equations of canonical transformation; generating functions;examples of canonical transformations; integral invariants of Poincare; Lagrange and Poissonbrackets as canonical invariants; infinitesimal contact transformations; constants of motionand symmetry principles; generators of infinitesimal symmetry transformations.

Hamilton-Jacobi theory: Hamilton’s principal and characteristic functions; Hamilton-Jacobiequations for these two functions; separation of variables in the Hamilton-Jacobi method (e.g.simple harmonic motion, Kepler problem etc.), Hamilton-Jacobi theory, geometrical opticsand wave mechanics.

Text Book:

1. Goldstein, Poole and Safko : Classical Mechanics -Addison Wesley / Narosa.

References Books:

2. Landau and Lifshitz : Mechanics -Pergamon.

3. Sommerfeld : Mechanics -Academic Press.

4. Rana and Joag : Classical Mechanics -Tata -McGraw Hill.

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Course Code: PHY-CC-703 Course Title : Quantum Mechanics-IICredits: 04 Lectures: 64

Unit – IGeneralised angular momentum- Infinitesimal rotation, Generator of rotation, Commutationrules, Matrix representation of angular momentum operators, Spin, Pauli spin matrices,Rotation of spin states, Coupling of two angular momentum operators, Clebsch Gordon co-efficients, Applications. Symmetries- Symmetries, Invariance principle and Conservationlaws, Space translation, Time translation, Space rotation, Irreducible spherical tensoroperators, Wigner-Eckert theorem and its applications, Space inversion, Time reversal.

Unit – IISchrödinger equation and its applications:One dimensional consideration, Particle in one-dimensional potential well (finite and infinite depth) and its energy states; Linear harmonicoscillator; Solutions of different one-dimensional barriers (finite and infinite width) andpenetration problems.

Three dimensional consideration: Free particle wave function; Motion of a charged particlein a spherically symmetric field; Angular momentum and the eigen functions; Energy statesassociated wave functions of Hydrogen atom; Expression of Bohr radius.

Unit – IIIApproximation methods- Time-independent perturbation theory for non-degenerate anddegenerate states, Application: anharmonic oscillator, Helium atom, Stark effect in hydrogenatom, Variational methods: Helium atom. WKB method; Connection formulae. Time-dependent perturbation theory; Harmonic perturbation; Fermi’s golden rule. Suddenapproximation.

Unit – IVScattering theory- Scattering of a particle by a fixed centre of force. Scattering amplitudedifferential and total cross sections. Method of partial waves. Phase shifts. Optical theorem.Scattering by a hard sphere and potential well. Integral equation for potential scattering.Green’s function. Born approximation. Yukawa and Coulomb potential. Text Book:

1. Introduction to Quantum Mechanics, , David J. Griffith, Pearson Education.Books Recommended: 1. ‘Quantum Physics’ by Robert Eisberg and Robert Resnick (John Wiley and sons). 2. ‘Quantum Theory’ by D. Bohm (Prentice-Hall). 3. ‘Quantum Mechanics: Theory and Applications’ by A. K. Ghatak and S. Lokanathan

(Macmillan India Ltd.). 4. ‘Quantum Mechanics’ by L. I. Schiff (McGraw-Hill Book, New York). 5. ‘Quantum Mechanics’ by Cohen and Tanandji.

Course Code: PHY-CC-704 Course Title : M. Sc. Lab-I Credits: 04 Lab hours: 64

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Course Code: PHY-DSE-701 Course Title : Analog & Digital ElectronicsCredits: 04 Lectures: 64

Unit-I

Operational amplifier: Op-amp parameters, ideal op-amp, open loop op-ampconfiguration-differential amplifier, inverting amplifier, non-inverting amplifier, equivalentcircuit of an op-amp, ideal voltage transfer curve; op-amp linear application-dc amplifier, acamplifier, summing amplifier, scaling amplifier, averaging amplifier, instrumentationamplifier, integrator, differentiator, solving problems using integrator and differentiator.

Unit-II

Applications of operational amplifier: Active filters low-pass, high-pass, band-pass, band-reject, all-pass filter, waveform generators: square wave, triangular, saw tooth, comparators:basic comparator types, characteristics, applications, zero crossing detector, Schmitt trigger,voltage limiters, log-antilog amplifiers, astable and monostable multivibrators using op-amp.

Unit-III

Number System: Base or radix, Decimal, binary, octal and hexadecimal system, Interconversion of numbers from one system to the other; Binary addition, subtraction,multiplication and division; BCD and hexadecimal codes; Signed numbers; Ones and two’scomplement representation and their use in binary addition and subtraction. Booleanalgebra, De Morgan’s theorem. OR, AND, NOT, NAND, NOR and XOR gates. Universalityof NOR and NAND gates. Logic functions; Logic simplification using Karnaugh maps; SOPand POS design of logic circuits; MUX as universal building block. RCA, CLA and BCDadder circuits; ADD-SHIFT and array multiplier circuits. RS, JK and MS-JK flip-flops;

Unit-IV

Analog to digital (A/D) and digital to analog (D/A) converter: different types of registers,serial in serial out, serial in parallel out, parallel in serial out and parallel in parallel out andapplications, asynchronous and synchronous electronic, counters, decade counters, digitalclock, applications of electronic counters, sample and hold circuits, types of D/A converter,binary weighted resistors R and 2R resistors, A/D converter, flash single slope, dual slope,successive approximation, astable and monostable multivibrators using 555 timer.

Textbooks:

1. A.R. Gayakwad, Op-amps and linear integrated circuits, 3rd Ed., Prentice-Hall, Inc., 2000.2. D.P. Leach, A.P Malvino and G. Saha, Digital Principles and Applications, 7th Ed.,2011. 3. R.P. Jain, Modern Digital Electronics, Tata McGraw-Hill Publishing Company Limited, 3rd edition, 2006.

References:

1. W.D. Stanley, Operational amplifiers with linear integrated circuits, 4th Ed., Pearson Education India, 2002.

2. D.D. Givone, Digital Principles and Design, Tata McGraw-Hill, 2002.

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Course Code: PHY-OE-701 Course Title: Physics EducationCredits: 02 Lectures: 32

UNIT – IBasic aim of Physics Education, Physics Education through master texts: ideas ofcommunicating physics. Physics Education through Experimentation: understanding physics through our day-to-day observations. PhysicsEducation through Problem Solving: physics understanding through curiosity.

UNIT – IIPhysics Education through master awareness and misconceptions: Going through daily lifephysics and its interpretation. Physics Education through proto-research: solving problems ofphysics related to human life. Physics Education through Qualitative Overview:

Text Book.1. A cultural history of physics by Karoli Simonyi, CRC Press.

Course Code: PHY-OE-702 Course Title:Philosophical Foundations of PhysicsCredits: 02 Lectures: 32

UNIT – IFormalism and Interpretations ,Early Semiclassical Interpretations , The conceptual situationin 1926/1927. Schrodinger's electromagnetic interpretation, Hydrodynamic interpretations,Born's original probabilistic interpretation ,De-Broglie's double-solution interpretation ,Latersemi-classical interpretations, The Indeterminacy Relations, The early history of theindeterminacy relations, Heisenberg's reasoning , Subsequent derivations of theindeterminacy relations Philosophical implications, Later developments , Early Versions ofthe Complementarity Interpretation , Bohr's Como lecture , Critical remarks , "Parallel" and"circular" complementarity , Historical precedents

UNIT – IIThe Bohr-Einstein Debate , The Fifth Solvay Congress , Early discussions between Bohr andEinstein The Sixth Solvay Congress , Later discussions on the photon-box experiment, andthe time-energy relation, debate, The Incompleteness Complementarity Some evaluations ofthe Bohr-Einstein Objection Interpretation, Later Versions internationalist of conception theof microphysical attributes , The prehistory of the EPR argument , The EPR incompletenessargument ,Early reactions to the EPR argument, The relational conception of quantum states ,Mathematical elaborations, Further reactions to the EPR argument, The acceptancecomplementarity interpretation , Hidden-Variable Theories .

Text Books:

1. Max Jammer: The Philosophy of Quantum Mechanics; The interpretation ofQuantum Mechanics in historical perspective.Reference Books:

1. Michael Redhead: Incompleteness, Non-locality, and Realism:A Prolegomenon to thePhilosophy of Quantum Mechanics.

2. A. Patrick., S. J Heelan: Quantum Mechanics and Objectivity: A Study of thePhysical Philosophy of Werner Heisenberg

3. Michel Bitbol: Schrödinger’s Philosophy of Quantum Mechanics

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M. Sc. Physics – Semester-II

Course Code: PHY-CC-801 Course Title : Mathematical Physics-IICredits: 04 Lectures: 64

UNIT-I

Functions of a Complex Variable: Analytic Properties, Mapping, Complex Algebra, Cauchy–Riemann Conditions, Cauchy’s Integral Theorem, Cauchy’s Integral Formula, LaurentExpansion, Singularities, Mapping, Conformal Mapping, Calculus of Residues, DispersionRelations, Method of Steepest Descents

UNIT-II

Fourier Series: General Properties, Advantages, Uses of Fourier Series, Applications ofFourier Series , Properties of Fourier Series , Gibbs Phenomenon, Discrete FourierTransform, Fourier Expansions of Mathieu Functions

Integral Transforms: Integral Transforms, Development of the Fourier Integral, FourierTransforms-Inversion Theorem, Fourier Transform of Derivatives, Convolution Theorem,Momentum Representation, Transfer Functions,

UNIT-III

Laplace Transforms: Properties of Laplace Transforms, Laplace Transform. Linearity. FirstShifting Theorem (s-Shifting) , Transforms of Derivatives and Integrals, Unit Step Function(Heaviside Function), Second Shifting Theorem (t-Shifting) , Short Impulses. Dirac’s DeltaFunction. Partial Fractions, Convolution. Integral Equations , Differentiation and Integrationof Transforms. Laplace Convolution Theorem, Inverse Laplace Transform and properties

UNIT-IV

Statistics: Introduction, Data Collection and Descriptive Statistics, Inferential Statistics andProbability Models, Populations and Samples, A Brief History of StatisticsDescriptive Statistics: Describing Data Sets, Frequency Tables and Graphs, RelativeFrequency Tables and Graphs, Grouped Data, Histograms, Ogives, and Stem and Leaf Plots,Summarizing Data Sets, Sample Mean, Sample Median, and Sample Mode, Sample Varianceand Sample Standard Deviation, Sample Percentiles and Box Plots Chebyshev’s Inequality,Normal Data Sets, Paired Data Sets and the Sample Correlation Coefficient

Text Book:1. Mathematical Methods for Physicists (6th Ed.), G. B. Arfken and H. J. Weber, Academic PressReference Books:1. Mathematical Methods For Students of Physics and Related Fields, Sadri Hassani, Springer (2009)2. Mathematical Physics: A Modern Introduction to Its Foundations, Sadri Hassani, Springer (2002)3. Advanced Engineering Mathematics by Michel D, Greenberg4. Mathematical Methods for Physics and Engineering (3rd Ed.), Riley, Hobson and Bence, Cambridge5. Advanced Engineering Mathematics, E Kreyzig (8th Ed.), Wiley6. Complex Analysis by E. C. Tichmersh7. Differential Equations by H. J. H. Piagin

9


Course Code: PHY-CC-802 Course Title :Classical ElectrodynamicsCredits: 04 Lectures: 64

UNIT-I

Preliminaries: Poisson and Laplace Equations, Green's Theorem, Uniqueness of the Solution:Dirichlet or Neumann Boundary Conditions, Formal Solution of Electrostatic Boundary-Value Problem with Green Function, Electrostatic Energy Density; Capacitance, VariationalApproach to the Solution of the Laplace and Poisson Equations, Multipole Expansion,Multipole Expansion of the Energy of a Charge Distribution in an External Field

UNIT-II

Boundary- Value Problems: Method of Images, Point Charge in the Presence of aGrounded Conducting Sphere, Point Charge in the Presence of a Charged, Insulated,Conducting Sphere, Point Charge Near a Conducting Sphere at Fixed Potential, GreenFunction for the Sphere; General Solution for the Potential, Conducting Sphere withHemispheres at Different Potentials

Boundary-Value Problems with Azimuthal Symmetry, Behaviour of Fields in a Conical Holeor Near a Sharp Point, Expansion of Green Functions in Spherical Coordinates, Solution ofPotential Problems with the Spherical Green Function Expansion, Expansion of GreenFunctions in Cylindrical Coordinates, Eigenfunction Expansions for Green Functions

UNIT-III

Preliminaries of Magnetostatics Macroscopic Equations, Boundary Conditions on В and HMethods of Solving Boundary-Value Problems in Magnetostatics, Quasi-Static MagneticFields in Conductors; Eddy Currents; Magnetic Diffusion

Vector and Scalar Potentials, Gauge Transformations, Lorenz Gauge, Coulomb Gauge, GreenFunctions for the Wave Equation, Retarded Solutions for the Fields: Jefimenko'sGeneralizations of the Coulomb and Biot-Savart Laws; Heaviside-Feynman Expressions forFields of Point Charge, Poynting's Theorem in Linear Dissipative Media with Losses,Transformation Properties of Electromagnetic Fields and Sources Under Rotations, On theQuestion of Magnetic Monopoles, Discussion of the Dirac Quantization Condition,Polarization Potentials (Hertz Vectors)

UNIT-IV

Covariant Electrodynamics: Lorentz Transformations and Basic Kinematic Results of SpecialRelativity,Matrix Representation of Lorentz Transformations, Infinitesimal Generators,Thomas Precession, Invariance of Electric Charge; Transformation of Electromagnetic Fields,Relativistic Equation of Motion for Spin in Uniform or Slowly Varying External Fields

Lagrangian and Hamiltonian for a Relativistic Charged Particle in External ElectromagneticFields Motion in a Uniform Static Magnetic Field, Motion in Combined, Uniform, StaticElectric and Magnetic Fields, Particle Drifts in Nonuniform, Static Magnetic Fields,Adiabatic Invariance of Flux Through Orbit of Particle, Lowest Order RelativisticCorrections to the Lagrangian for Interacting Charged Particles: The Darwin Lagrangian,Lagrangian for the Electromagnetic Field, Proca Lagrangian; Photon Mass Effects, Effective"Photon" Mass in Superconductivity; London Penetration Depth, Canonical and SymmetricStress Tensors; Conservation Laws, Solution of the Wave Equation in Covariant Form;Invariant Green Functions

Text Book:

1. Jackson J. D.,Classical Electrodynamics,Third edition, John Wiley & Sons, Inc.(1998)

Reference Books:

1. Stratton, J. A., Electromagnetic Theory, McGraw-Hill, New York A941).

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2. Panofsky, W. К. Н., and M. Phillips, Classical Electricity and Magnetism, 2ndedition,Addison-Wesley, Reading, MA A962).

3. Taylor, E. F., and J. A. Wheeler, Spacetime Physics, 2nd edition, Freeman, San Fran-Francisco A992).

4. Landau, L. D., and E. M. Lifshitz, The Classical Theory of Fields, 4th revised Englishedition, translated by M. Hamermesh, Pergamon Press, Oxford, and Addison-Wesley,Reading, MA A987).

5. Вонм, D., The Special Theory of Relativity, Benjamin, New York A965); Addison-Wesley, Reading, MA A989).

6. Barut, A. O., Electrodynamics and Classical Theory of Fields and Particles,Macmillan,New York A964); Dover reprint A980).

7. Arfken, G., and H. J. Weber, Mathematical Methods for Physicists, 4th edition, Aca-Academic Press, New York A995).

8. Feynman, R. P., R. B. Leighton, and M. Sands, The Feynman Lectures on Physics,3vols., Addison-Wesley, Reading, MA A963).

9. Morse, P. M., and H. Feshbach, Methods of Theoretical Physics, 2 Pts., McGraw-Hill,New York A953).

10. Northrop, T. G., The Adiabatic Motion of Charged Particles, Wiley-Interscience,NewYork A963).

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Course Code: PHY-CC-803 Course Title : Nuclear Models & ReactionsCredits: 04 Lectures: 64

UNIT-I

Two-nucleon Problem, General symmetry properties of two-nucleon Hamiltonian, generalforms of nucleon-nucleon interaction, Nucleon-nucleon force-charge-symmetry and chargeindependence, concept of isospin, Matrix elements of two nucleon potential, two-nucleonSchrödinger equation, Static electromagnetic moments of deuteron.

Scattering formalism of two-nucleon system, Special consideration of p-p scattering,effective range formalism for low energy scattering, Polarization in two-neucleon scattering,analysis of two nucleon data, different forms of two nucleon potential, OBEP.

UNIT-II

Nuclear models:- Liquid drop model approach, semi empirical mass formula, Shell model,even-Z, Even-N nuclei and collective structure, Fermi gas model (degenerate fermions gas,nuclear symmetry potential in Fermi gas), Meson Theory of Nuclear Forces and Discovery ofPion.

UNIT- III

Nuclear Reactions: - Types of Reactions and Conservation Laws. Energetics of nuclearreactions, isospin, reaction cross sections, experimental techniques, coulomb scattering,nuclear scatering, scattering and reaction cross sections, optical model Concept of Compoundand Direct Reaction. Compound Nucleus. Direct reactions, resonance reactions, heavy-ionreactions, Reaction Rate, Q-value of Reaction. Fission and Fusion, nature of fragments andemission of neutrons. Nuclear reactor: Fusion and thermonuclear reactions driving stellarenergy (brief qualitative discussions).

UNIT-IV

Accelerators :- Van de Graaff Generator, Linear Accelerator, Cyclotron, Betatron, and Lightand Heavy Ion Synchro-Cyclotron.Detectors of Nuclear Radiations :- Interaction of radiation with matter, gas-filled counters,Scintillation detectors,Ionization chamber. GM Counter. Cloud Chambers. Wilson CloudChamber. Bubble Chamber, Semiconductor DetectorsCounting statistics, energy measurements, coincidence measurements and time resolution, measurements of nuclear life-times.Textbooks:

1. Krane, K. S., Introductory Nuclear Physics, (Wiley India Pvt. Ltd, 1998)Reference Books: 2. Roy R. R. and Nigam, B. P., Nuclear Physics: Theory and Experiment, (New Age

International, 1967)3. Wong, S. S. M., Introductory Nuclear Physics, 2nd edition, (Wiley-VCH, 1999)4. Martin, B., Nuclear and Particle Physics: An Introductory, (Wiley, 2006)5. Concepts of Modern Physics by Arthur Beiser (McGraw-Hill Book Company, 1987)6. Concepts of nuclear physics by Bernard L. Cohen.(New Delhi: Tata Mcgraw Hill,

1998)7. Introduction to the physics of nuclei and particles by R.A. Dunlap.(Singapore:

Thomson Asia, 2004).8. Nuclear physics by Irving Kaplan. (Oxford & IBH, 1962)

Course Code: PHY-CC-804 Course Title : M. Sc. Lab -IICredits: 04 Lab hours: 64

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Course Code: PHY-DSE-801 Course Title : Solid State Physics-IICredits: 04 Lectures: 64

Unit: IElectron band theory: one electron band theories. Plane wave like and localized wave

functions. Nearly free electron approximation. Elementary discussion of orthogonalizedPlane Wave (OPW) and Pseudo potential methods. Variation of Fermi energy in extrinsicsemiconductors. De-Hass-van Alphen effect experiment to investigate Fermi surface.

Unit: IIIonic lattice in presence of infrared field, dielectric constant, L.S.T. relation, LO and

TO modes. Ordered phases of matter, translational and orientation order, Quasicrystals,conducting polymers. Diamagnetism, Langevin diamagnetic equation, Quantum theory ofparamagnetism rare earth ions and iron group ions. Ferromagnetism, Curie temperature,Heisenberg model, Temperature dependence of saturated magnetization.

Unit: IIISuperconductivity: Meissner effect, isotope effect, type I and II superconductors.

Cooper pairs. Elementary ideas of BCS theory. Approximate estimate of transitiontemperature, superconducting energy gap, Measurement of energy gap by infrared absorptionand electron tunneling methods, Elementary ideas about Josephson Effect and high Tc

superconductors.

Unit: IVEnergy Band consideration in solids in relation to semiconductors, Direct and Indirect

bands in semiconductor, Electron/Hole concentration and Fermi energy in intrinsic/Extrinsicsemiconductor continuity equation, Carrier mobility in semiconductors, Electron and Holeconductivity in semiconductors, Shallow impurities in semiconductors (Ionization Energies),Deep Impurity states in semiconductors, Carrier Trapping and recombination/generation insemiconductors, Schokley Read theory of recombination, Switching in Electronic Devices.

Text Books: 1. Solid State Physics-Structure and Properties of Materials : M.A. Wahab2. Solid State Physics, S. O. Pillai, New age International

Reference Books:1. Introduction of Solids: L.V. Azaroff2. Crystallography Applied to Solid State Physics: A.R. Verma and O.N. Srivastava3. Principels of Condensed Matter Physics: P.M. Chaikin and T.C. Lubensky4. Solid State Physics: N.W. Ashcroft and N.D. Mermin.

13


Course Code: PHY-OE-801 Course Title : BiophysicsCredits: 02 Lectures: 32

UNIT – IRadiological Physics: Properties of Electromagnetic Radiation, Radiation Units, Exposureand Dose, Dose equivalent Unit, Particle flux, X Rays and Gamma Rays, their interactionwith matter, Photoelectric and Compton effect, Ion pair production, Principles of Radiationdetection and measurements, General requirement of dosimeters, Telegamma Unit (CobaltUnit), Radio Isotopes in Biology, Agriculture plant breeding, soil plant relationship and plantphysiology, Medicine and diagnosis.Text Books:

UNIT – IIRadiation Safety measures: Natural and manmade Radiation exposure or principle of DoseEquivalent limit (DEL), Maximum permissible Dose (MPD), Evaluation of External andinternal Radiation hazards, Radiation protection measures in Industrial establishment, RadioIsotope labs, Diagnostics and therapeutic installations during transportation of Radioactivesubstances, Disposal of Radioactive waste, Administrative and Legislative aspect ofRadiation protection.Text Books:

1. 1. Casarett A.P. (1968), Radiation Biology, Prentice-hall Inc.2. Clause W.D. (1958), Radiation Biology and Medicine, Addison- Wesley.3. Grosch D.S. (1979), Biological effects of Radiation, Academic Press.4. Howard L. A. (1974), Radiation Biophysics, Prentice Hall Inc.

References Books:1. Knoll G.E.(1979), Radiation detection and measurement, John Wiley and sons.

Course Code: PHY-OE-802 Course Title : Renewable Energy SourcesCredits: 02 Lectures: 32

14


M. Sc. Physics – Semester-III

Course Code: PHY-CC-901 Course Title : Advanced Statistical Mechanics

Credits: 04 Lectures: 64

Unit I

One dimensional Random walk, Gaussian distribution, Fluctuation in energy incanonical ensemble and the concentration in Grand Canonical ensemble. Random processes,Markoff process, Langevin Equation, Correlation functions, Fluctuations , DissipationTheorem, Weiner-Khintchine theorem, Nyquist theorem, Conditional probability, FokkerPlank Equation, Brownian motion.

Unit II

A review of Gibbs ensembles, Partition function for Perfect Gas and ensemble ofHarmonic Oscillators, Partition Function for Gases containing Mono-atomic, Di-atomic andPolyatomic Molecules. Grand partition function, Grand potential, FD and BE distribution inGrand Canonical ensemble Degenerate Bose Gas, Momentum Condensation, Liquid He II,Two fluid theory, Sperfluidity, Degenerate FD Gas, Conduction Electrons in a Metal.

Unit III

An ideal gas in quantum mechanical micro canonical ensemble. Statistics ofoccupation numbers, concepts and thermodynamical behaviour of an ideal gas. Bose Einsteincondensation. Discussion of a gas of photons and phonons. Thermodynamical behaviour ofan ideal Fermi gas, electron gas in metals, Pauli’s paramagnetic, statistical equilibrium ofwhite dwarf stars.

Unit IV

Phase transition and Critical Phenomena: Phase transition. Condensation of a Van der-waals gas, Meyers theory of condensation. Curie wises theory of magnetic transition. Isingmodel: Ising model in zeroth approximation and first approximation. Order parameters.Landau theory.

Text Book:

1. R. K. Pathria, Statistical Mechanics, Butterworth-Heinemann

Reference Books:2. K. Huang, Introduction to Statistical Mechanics 3. Silvio R. A. Salinas, Introduction to Statistical Mechanics.4. F. Reif, Fundamentals of Statistical and Thermal Physics. 5. Kadanoff, Statistical Mechanics. World Scientific.6. R. Kubo, Statistical Mechanics. (Collection of problems)

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Course Code: PHY-CC-902 Course Title : Atomic and Molecular PhysicsCredits: 04 Lectures: 64

UNIT I

Atomic Structure and Atomic Spectra: One Electron Atom: Vector model of a one electronatom, Quantum states of an electron in an atom, Hydrogen atom spectrum, Spin-orbitcoupling, Relativistic corrections for energy levels of hydrogen atom, Hydrogen finestructure, Spectroscopic terms, Hyperfine structure and isotopic shift.

UNIT II

Two valance Electron Atom: Vector model for two valance electrons atom, LS coupling, Pauliexclusion principle, Interaction energy for LS coupling, Lande interval rule, JJ coupling,interaction energy for JJ coupling. Inner shell vacancy, X-rays and Auger transitions.chemical shift. Frank-Condon principle. Atom in Magnetic Field: Zeeman effect, Magneticmoment of a bound electron, Magnetic interaction energy in weak field. Paschen-Back effect,Magnetic interaction energy in strong field.

UNIT III

Molecular Structure and Molecular Spectra :Types of molecules, Electronic, rotational,vibrational and Raman spectra of diatomic molecules, selection rules. Born-Oppenheimerapproximation. Morse potential energy curve, Molecules as vibrating rotator, Vibrationspectrum of diatomic molecule, PQR branches. Elementary discussion of Raman, ESR andNMR spectroscopy, chemical shift.

UNIT IV

Infrared spectroscopy: The vibrating diatomic molecule. The diatomic vibrating-rotatorspectra of diatomic molecules

Raman Spectroscopy: Introduction, Pure rotational Raman spectra, Vibrational RamanSpectra, Nuclear Spin and intensity alternation in Raman spectra, Isotope effect, RamanSpectrometer.

Text Books:

1. Concepts of Modern Physics by Arthur Beiser (McGraw-Hill Book Company, 1987).

Reference Books:2. Atomic spectra & atomic structure, Gerhard Hertzberg: Dover publication, New York.3. Molecular structure & spectroscopy, G. Aruldhas; Prentice – Hall of India, New

Delhi.4. Fundamentals of molecular spectroscopy, Colin N. Banwell & Elaine M. McCash,

Tata McGraw –Hill publishing company limited.5. Introduction to Atomic spectra by H.E. White,6. Spectra of diatomic molecules by Gerhard Herzberg

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Course Code: PHY-CC-903 Course Title : Advanced Quantum MechanicsCredits: 04 Lectures: 64

UNIT-I

Relativistic wave Equation: The Klein-Gordon equation, Free particle solutions, probabilitydensity & probability current density, interpretation of negative energy solutions of the K-Gequation. The Dirac equation, Free particle solutions, Probability density and probabilitydensity current for the free particle Dirac equation, Spin of an electron, Interpretation ofnegative energy states.The Dirac Equation : Formulation of a Relativistic Quantum Theory, Early Attempts TheDirac Equation, Non-relativistic Correspondence, Lorentz Covariance of the Dirac Equation,

UNIT-II

Covariant Form of the Dirac Equation, Proof of Covariance,, Space Reflection, BilinearCovariants

Solutions to the Dirac Equation for a Free Particle: Plane Wave Solutions, ProjectionOperators for Energy and Spin, Physical Interpretation of Free-particle Solutions andPackets, The Foldy-Wouthuysen Transformation, Free-particle Transformation, The GeneralTransformation, The Hydrogen Atom

UNIT-III

Hole Theory: The Problem of Negative-energy Solutions, Charge Conjugation, VacuumPolarization , Time Reversal and Other Symmetries, Propugator Theory : The NonrelativisticPropagator, Formal Definitions and Properties of the Green's Functions, The Propagator inPositron Theory

UNIT-IV

Applications : Coulomb Scattering of Electrons, Some Trace Theorems; tho Spin-averagedCoulomb Cross Section, Coulomb Scattering of Positrons, Electron Scattering from a DiracProton, Higher-order Corrections to Electron-Proton Scattering , Bremsstrahlung, ComptonScattering, Pair Annihilation into Gamma Rays, Electron-Electron and Electron-PositronScattering, Polarisation in Electron Scattering

Text Books:

1. Bjorken & Drell, Relativistic Quantum Mechanics, James D. Bjorken Sidney D. Drell,MC Graw-Hill Book Company, New York

Reference Books:

2. Relativistic Quantum Fields, James D. Bjorken Sidney D. Drell, MC Graw-Hill BookCompany, New York

3. J. R. Aitchson, Relativistic Quantum Mechanics4. W. Greiner, Relativistic Quantum Mechanics, Springer, Verlag berlin

Course Code: PHY-CC-904 Course Title : M. Sc. Lab-IIICredits: 04 Lab hours: 64

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Course Code: PHY-DSE-901 Course Title : Advanced Nuclear Physics -ICredits: 04 Lectures: 64

Unit-I

Second Quantization: raising and lowering operators, Harmonic oscillator problem in ladderoperator method, anti-symmetrization, matrix elements for many-body system, models forsingle nucleon wave function and potential, perturbation theory in the lowest two orders,Goldstone’s linked-cluster perturbation expansion

Unit-II

Nuclear deformations: Effect of quadrupole deformations and higher multipole deformations,Nuclear orientation effect, deformed magic shells and related nuclear aspects, Importance ofExotic nuclear systems, halo shapes and bubble effect. Collective Model of Nucleus:Collective model Hamiltonian, nuclear wave function for even-even nuclei and odd-A nuclei,Rotation-vibrational coupling, Nilsson model, Cranking shell model.

Unit-III

Heavy-Ion Physics: Total Hamiltonian function, Scattering of deformed nuclei, Fusion andfission dynamics, Radioactive ion beams, tightly and loosely bound interactions, Nuclearisomers, Nuclear Molecules, Nuclear Dynamics at Intermediate and high energies,Relativistic heavy ion collisions

Nuclear Astrophysics: Hot big bang cosmology,Stellarnucleosynthesis, energy production instars, pp chain, CNO cycle.

Unit-IV

Shell model-nucleons in a harmonic oscillator potential, radial density distribution, estimateof oscillator frequency, spin-orbit potential, magic numbers, spin, magnetic and electricquadrupole moment of nuclei, residual interaction, single particle model, odd-odd nuclei,Nordheim’s rules. One-particle Excitations; The Radial Equation and the Single-particleSpectrum, illustrative Examples of Energy Spectra, Hartree-Fock Methods: A SimpleApproach, Two-particle Systems: Identical Nucleon, Two-particle Wavefunctions, Two-particle Residual Interaction, Calculation of Two-Body Matrix Elements, ConfigurationMixing: Model Space and Model Interaction. Three-particle Systems and Beyond, Three-particle Wave Functions, Extension to n-particle Wave Functions, Some Applications: Three-particle Systems, Non-identical Particle Systems: Isospin, Isospin: Introduction andConcepts, Isospin Formalism ,Two-Body Matrix Elements with Isospin.

Text Books:

1. M.K. Pal, Theory of Nuclear Structure (Affiliated East - West, Madras, 1982).2. Jouni Suhonen, From Nucleons to Nucleus, Concepts of Microscopic Nuclear

Theory, Springer Publications (2005).3. Heyde, Kris, The Nuclear Shell Model, Springer Publications (2005).Reference Books:4. Preston M. A. and Bhaduri R. K., Structure of Nucleus Addison-Wesley, (2000).5. Lilley J.S., Nuclear physics principles and applications John Wiley & sons Ltd.,

(2007)6. Krane K.S. Nuclear Physics, Wiley India Pvt. Ltd., (2008).7. A. Bohr and B.R. Mottelson, Nuclear Structure, Vol. 1 (1969) and Vol . 2

(Benjamin, Reading. A. 1975).8. H. A. Enge, Introduction to Nuclear Physics (Addison - Wesley, 1975). 9. G. E. Brown and A.D. Jackson, Nucleon - Nucleon Interaction (North - Holland,

Amsterdam, 1976).

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Course Code: PHY-DSE-902 Course Title :Condensed Matter Physics-ICredits: 04 Lectures: 64

UNIT-IEwald’s method, Lorentz field, Phonons in perfect-crystals: General theory of lattice

dynamics of non-primitive lattice, normal coordinate description, quantization of latticevibrations, phonon concept, ionic crystals, shell model. Inelastic scattering of slow neutronsby crystals for study of phonons. Kramer-Kronig relation.

UNIT- IIDielectric constant of ionic crystals. Static polarizability, polarizability in variable

field, placzek’s approximation, first order Raman scattering, second-order Raman scattering,elementary ideas of the study of phonons by Raman scattering Plasmons, interaction ofelectromagnetic waves with phonons and polaritons.

UNIT-III

Excitation in imperfect crystals: Definition of classical Green functions, application toone dimentional harmonic oscillator, principle of causality. Double-time quantum Greenfunctions, correlation functions, and spectral density. Static Green function (Fouriertransform), application to lattice vibrations and Electron energy states. Point defect in one-dimensional lattice, localized, gap and resonance modes. Elementary ideas of extension toimpurity electron energy states, gap states.

UNIT-IV

Transport Theory: Phenomenological coefficient Lij and their physical interaction.General Boltzmann equation and its linearization Entropy production. Relaxation timesolution of Boltzmann equation. Electronic contributions of thermal and electricalconductivities and to Peltier, Seeback coefficient for metals and electronis semiconductors.Relationship between electrical and ideas about lattice contribution to thermal conductivity.

Text Book:1.A.L. Fetter and J.D. Walecka: Quantum theory of many particle systems

References:

1. B.E.Warren – X-ray Diffraction.2. A. Maradudin – Solid State Physics (Supplement 3) (Academic Press).3. O. Madelung – Introduction of Solid State Theory (Springer).4. J.M. Ziman: Principles of the theory of solids5. A.L. Fetter and J.D. Walecka: Quantum theory of many particle systems6. D. Pines: Elementary excitations in solids7. Raimes: Wave mechanics of electrons

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Course Code: PHY-DSE-903 Course Title :ST-1 (GENERAL RELATIVITY)Credits: 04 Lectures: 64

Unit-ITensor Calculus :vector and tensor fields. Tensor character of of covariant and contra variantlaws, Algebra of Tensors ,symmetric and skew symmetric Tensors, Relative tensors, MetricTensor, Christoffel symbols their transformation, Covariant differentiation of Tensors andtheir formulas, Riccis Theorm ,Riemann- Christoffel Tensor, Properties of Reimann-Christoffel Tensors, Ricci Tensor ,Bianchi identities, Einstein Tensor, Riemannian andEuclidean Spaces. Existence Theorem Application of e-systems to Determinants, TensorCharacter of Generalized Kronecker Deltas.

Unit-IIReview of Special relativity. Minkowski space-time. Equivalence of Mass in NewtonianTheory , Einstein’s Lift Experiments, Weak and Strong Equivalence Principles, Prnciple ofGeneral Covariance Geodesic Deviation. Einstein’s gravitational equations ,Sphericallysymmetric static Field. General properties of Gravitational Field Equations ,Planetary orbits ,The advance of Perehelion. Einstein Hilbert Action .Variation of Gravitational Action andMatter Action.

Unit-III The Energy – Momentum Tensor, Conservation Equations , Dust , Perfect Fluids . WeakFields Stress-energy tensor for a perfect fluid. Solution of Einstein equation for weak fields.Gravitational waves. Linearized metric, .Behavour of particle as gravitational wavepasses, , Colliding Gravity Waves , Genral relativistic effects in binary system.

Unit-IIIMetric of spherically symmetric space-time ,Static geometry and Birkoffs Theorm,Schwarzschild solution ,Interior solution to schwarschild metric , Riesner Nordstromsolution kruskal –szekeres coordinates, Penrose-Carter diagrams, Rotating black holes andkerr metric . Cosmology – The cosmological Principle ,A Metric incorporating spatial Homogeneity andIsotropy, Spaces of Positive , Negative and Zero Curvature. The Robertson-Walker Metricand the Friedman Equations . Different Models of the universe. Text Book

1. J.B.Hartle : Gravity Reference Books:

1. I.S Sokolnikoff Tensor Analysis Theory and Applications2. S.Weinberg : Gravitation and Cosmology.3. Gravitation Foundation and Frontiers T. Padmanabhan4. Space-Time,and Geometry by Sean M. Carroll5. C.W.Misner, K.S.Thorne and J.A.Wheeler : Gravitation6. Pankaj Sharan : Spacetime , Geometry and Gravitation .7. A first Course in General Relativity B,Schutz. 8. Lecture notes on General Relativity G. 't Hooft9. The meaning of Relativity Albert Einstein

Course Code: PHY-SCP-I Course Title : Project-ICredits: 04

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M. Sc. Physics – Semester-IVCourse Code: PHY-CC-1001 Course Title : Quantum Field TheoryCredits: 04 Lectures: 64

UNIT-I

General Formalism: Implications of a Description in Terms of Local Fields, The CanonicalFormalism and Quantization Procedure for Particles, Canonical Formalism and Quantizationfor Fields, Symmetries and Conservation Laws

The Klein-Gordon Field: Quantization and Particle Interpretation, Symmetry of the States,Measurability of the Field and Microscopic Causality, Vacuum Fluctuations, The ChargedScalar Field, Feynman rules and diagrams, The Feynman Propagator, S-Matrix

UNIT-II

Second Quantization of the Dirac Field: Quantum Mechanics of n Identical Particles, theNumber Representation for Fermions, The Dirac Theory, Momentum Expansions,Relativistic Covariance, The Feynman Propagator

Quantization of the Electromagnetic Field : Covariance of the Quantization Procedure,Momentum Expansions, Spin of the Photon, The Feynman Propagator for Transverse Photon

UNIT-III

Interacting Fields: Introduction, The Electrodynamic Interaction, Lorentz and DisplacementInvariance, Momentum Expansions, The Self-energy of the Vacuum;Wick’s TheoremNormal Ordering, Other Interactions,

UNIT-IV

Path integrals in field theory, Euclidean field theory, Generating functional & Greensfunction, Generating functional and interacting fields, General re-normalization theory,renormalizeability, cancellation of divergnces, cut-off, effective field theories, RG flowequations( K. G. Wilson Theory: ideas)

Text Books:

1. Introduction to Quantum field Theory, Michael E. Peskin and Daniel V. Schroeder.©1995, Addison-Wesley (ABP)

2. Relativistic Quantum fields, James D. Bjorken Sidney D. Drell, MC Graw-Hill BookCompany, New York

Reference Books:3. A First book of quantum field theory: Lahiri and Pal (Narosa Publishing ouse)4. Bjorken & Drell, Relativistic Quantum Mechanics.5. Quantum Field Theory. Itzkyson & Zuber, 6. Introduction to the theory of Quantized Fields. Bogoliubov & Shirkov:7. Introduction to Quantum field Theory, S. Wienberg, Vol-I, Cambrige University Press8. Field Quantization, W. Griener, J Reinhardt, Springer, Verlag Berlin.

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Code: PHY-CC-1002 Course title: Group Theory and Particle PhysicsCredit: 4 Lectures: 64

Unit IGroup theory and its application: Abstract definitions: Group, Multiplication Table, , matrixrepresentation of operators, unitary space, Unitary matrices, representation of group,characters, reducible and irreducible representations, Invariant subspaces, Schur’s Lemmas,Orthogonality theorem for irreducible representation and characters. Regular representation,occurrence of, an irreducible representation in a reducible representation. Theorem forpossible number of irreducible representations of a group. Direct product of representations.Relationship to Quantum mechanics: Symmetry transformations, degeneracy and invariantsubspaces, projection operators, transformation of functions. Applications to molecular andcrystal symmetry .

Unit IISymmetries and Quantum Electrodynamics Action principle, relativistic field, invariance andconservation, QED: Global and local gauge invariances in quantum mechanics and fieldtheory, gauge field, covariant derivative, QED as a gauge theory Yang-Mills Theories Explicitconstruction of non-abelian (Yang-Mills) gauge theory and its consequences. Need for colour,QCD Lagrangian, running coupling, confinement and asymptotic freedom. Hidden symmetry,spontaneously broken discrete and continuous symmetries, Goldstone theorem, Goldstonemodel, Higgs Mechanism.

Unit IIISalam-Weinberg Model Week isospin and hypercharge, Glashow-Salam-Weinberg model forleptons, gauge group, various pieces of the Lagrangian, mass generation of gauge bosons andfermions, neutrino electro scattering extension to hadrons and GIM mechanism and CKMmatrix.

Unit IVFundamental point group operations and nomenclature, construction of thirty-two pointgroups and character tables for their irreducible representations, Lie groups and internalsymmetries, the Poincare group and its generators. Applications and Beyond the StandardModel Applications in leptonic sector, Z and Higgs, and other processes. Beyond standardmodel: GUTS, SUSY, SUGRA and String Theory

Text Book:1. Sterman, G. : Quantum Field Theory (Cambridge)

References:2. Quigg, C, Gauge Theoreis of the Strong, Weak and Electromagnetic Interactions(Benjamin-Cummings) 3. Burgess, C. and Moore, G. The Standard Model (A Primer) (Cambridge)4. Cottingham, W.N. and Greenwood, D.A. : An Introduction to the Standard Model ofParticle Physics (Cambridge)5. Cheng and li, gauge theory and particle physics

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Corse Code: PHY-CC- 1003 Course Title: Astronomy and AstrophysicsCredits: 4 Lectures: 64

UNIT – IEquation of stellar structure; equation of conservation of mass, hydrostatic equilibrium,thermal equilibrium and energy transport, Equation of State, Stellar Opacity, Stellar EnergySources. Application of virial theorem to isothermal spheres, Jean’s criteria for stability.Polytropic model, Lane-emden’s equation, Central temperature and pressure,

UNIT – IIEvolution of stars, interstellar dust and gas, Jean’s criteria for stability, formation of stars,Evolution of stars on the basis of HR-diagram, Binary stars, masses of binary stars, Fate ofmassive stars, Supernovae, White dwarfs, Chandershker limit, neutron stars, Pulsars, blackholes.

UNIT – IIIThe Milky way Galaxy, size and shape, Rotation curves of the Galaxy, Implication of darkmatter, Radio-observation and spiral structure, star counts, interstellar extinction,implicationsof Dark matter, Hubble’s classification of galaxies. External galaxies: Methods of extragalactic distance, Properties of Seyfersts, radio galaxies, quasars.

UNIT-IVThe evolution proceeded from a nearly uniform initial state to a progressively more irregularand clumpy universe. The discussion centers on the largest known structures, the clusters ofgalaxies, the empirical evidence of the nature of the clustering, and the theories of how theclustering evolves in an expanding universe. In Chapter One the author provides an historicalintroduction to the subject. Text books

1. Steller Structure by Chanderskher2. Modern Astrophysics by B.W.Carroll and D.A.Ostlie Addison-Weslet3. P.J.E. Peebles, The Large Scale Structure Of The Universe, Princeton University

PressReference Books:

1. Astronomy by R. H. Baker2. Introductory Astronomy & Astrophysics by M.Zelik & S.A.Gregory, 4th Edition

Saunders College Publishing3. Theoretical astrophysics, Vol. II: Stars and Stellar Systems, T.Padmanabhan,

Cambridge University Press.4. Stellar dynamics by Chanderskher5. Large Scale Structure of Universe, L. S. Longair

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http://www.ebooksdownloads.xyz/search/the-large-scale-structure-of-the-universe


Course Code: PHY-CC-1004 Course Title : Lasers & Fibre OpticsCredits: 04 Lectures: 64

Unit: I

Basic Principle and Different Lasers: Principle and Working of CO2 laser andQualitative Description of Longitudinal and TE laser systems. Threshold condition forOscillation in Semiconductor Laser. Homostructure and Heterostructure p–n junction lasers,Nd-YAG lasers. Principle of Excimer Laser. Principle and Working of Dye Laser. FreeElectron Laser.

Unit: IINon Linear Processes: Propagation of Electromagnetic Waves in Nonlinear medium,

Self Focusing, Phase matching condition, Fiber Lasers, Stimulated Raman Scattering andRaman Lasers, CARS, Saturation and Two photon Absorptions.

Unit: IIISynchrotron Radiation Source, Dye Laser as a versatile spectroscopic light source,

Grating spectrographs and spectrometers based on Czerry-Turner and Ebert mountings.Thermal Detector, Photodiode, Photomultiplier Tube, Channel Electron Multiplier, Chargecoupled detector. Principle and Working of a Double Beam infrared spectrophotometer,Raman Spectrometer. Principle and Working of Fourier Transform Spectrometers.Photoacoustic Spectroscopy, Matrix Isolation Spectroscopy.

UNIT: IV

Need for optical communication, salient features of optical fibers, ray theory of lightguidance, numerical aperture, modes of a fiber, single and multimode fibers, step-index andgraded-index fibers, fiber fabrication techniques. Transmission characteristics of opticalfibers, attenuation, pulse broadening mechanism, intermodal dispersion, bit rate - lengthproduct, material dispersion, electromagnetic wave analysis of light propagation in aninfinitely extended medium, em waves in dielectrics, boundary conditions

Text Book:

1. G. P. Agrawal, “Optical Fiber Communication System,” Wiley-Interscience2. K. Thyagrajan and A.K. Ghatak , “Lasers - Theory and Applications”

Reference Books:1. Laser Spectroscopy and Instrumentation: W. Demtroder.2. Principles of Lasers: O. Svelto.3. Laser Cooling and Trapping: P.N. Ghosh.4. Frontiers in Atomic, Molecular and Optical Physics: S.P. Sengupta.5. Lasers - Theory and Applications: K. Thyagrajan and A.K. Ghatak.

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Course Code: PHY-DSE-1001 Course Title : Advanced Nuclear Physics-IICredits: 04 Lectures: 64

UNIT-I

Nuclear Force: Bare Nucleon- Nucleon Force, General properties of Two-Body force, Thestructure of Nucleon- Nucleon interaction, Microscopic effective interaction, Bruckner G-Matrix and Bethe- Goldstone equation, valance nucleons, particle-hole concept,

Phenomenological effective interactions, Skyrme Interaction, Gogny Interaction, The MidgalForce, Surface -Delta Interaction, separable force and Multipole expansion.

UNIT-II

The Hartree-Fock Methods: the general variational principle, derivation of Hartree-Fockequations, choice of set of trial wave functions, the HF-energy, Hartree-Fock equations incoordinate space, A simple solvable model, Hartree-Fock equations and symmetries, Densitydependent forces, Hartree-Fock equations with skyrme Interaction.

UNIT-III

Pairing correlations and superfluid nuclei: experimental survey, the seniority scheme, TheBCS model, BCS equations and wavefunctions, The special case with pure pairing force,Bogoliubov Quasi-particles, excited states and blocking, detailed treatment of Gap-equation,Schematic solution of the Gap-equation.

UNIT-IV

The generalised Single-Particle model: Bogoliubov Transformations, quasi-particle operators,the quasiparticle vaccum, Density matrices and pairing tensor, The Hartree-Fock-bogoliubovequations and their derivation, properties of The Hartree-Fock-bogoliubov equations, pairingPlus quadrupole model, Application of HFB-equations to the ground state,

Constrained Hartree-Fock theory, HFB-theory in rotating frames

Text Book:

1. Peter Ring and Peter Schuck, The Nuclear many-Body Problem, Text & Monographs in Physics, Springer-Verlag New-York.

Reference Books:

1. M.K. Pal, Theory of Nuclear Structure (Affiliated East - West, Madras, 1982). 2. Reiner Dreizler and E. K. U. Gross, “Density Functional Theory” (Springer 1990)3.

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Corse Code: PHY-DSE- 1002 Course Title: Condensed Matter Physics-IICredits: 4 Lectures: 64

UNIT: IMagnetism: Classical and Semi Classical Theories : Failure to explain large internal fields.Exchange interaction. Ising Model. Bragg William Approximation. Explanation of lergeexternal fields. Non-existence of ferromagnetism in two-dimensional Ising Model. Two sub-lattice Model and classical theories of antiferromagnetism and ferrimagnetism, Ferrites andgarnets.

UNIT: IISecond Quantized Theory: Ferromagnetic Hiesenberg Hamiltonian, Holstein-

Primakoff transformations and their application to Heisenberg Hamiltonian for smallfractional spin reversal. Ferromagnetic magnons, Magnon heat capacity and saturationmagnetization at small temperatures. Antiferromagnetic Hamiltonian and its reduction usingHolstein Primakoff transformation, Antiferromagnetic magnons. Zero point sub-latticemagnetization. The Magnetic Phase Transition :Order parameter, Landau’s theory of secondorder phase Transitions. Fluctuations of the order parameter. Elementary qualitative ideasabout critical exponents and scaling.

UNIT: III

Many Electron Systems: Second quantization for Fermions, field operators, electron densityoperator, Hamiltonian for two particle interactions in second quantized form: Columbianinteraction and screened Colombian interaction.Linear Response Theory: Dielectric response analysis, dielectric constant for electron gasin self consistent approximation, Lindhard formula, dielectric constant. Dielectric screeningof a point charge impurity.

UNIT: IVElectron-Phonon Interaction: Long wavelength limit, deformation potential interaction,Born approximation, deformation potential perturbation Hamiltonian, Normal processes,polaron. Number of phonons accompanying electron. Electron-electron interaction viaphonons, Attractive interaction, Cooper pairs, Reduced Hamitonian for superconducting state.Bogoliubo-Valatin tranformation, Diagonal and non-diagonal terms, superconducting groundstate energy, nature of ground state, excited states, Temperature dependence of energy gap,Transition temperature, Simple treatment of Meissner effect and flux quantization.

Text Book:1. Solid State Physics: Mattis

Books recommended:1) Solid State Physics: Mattis2) Electron Paramagnetic Resonance: Pake3) Molecular spectroscopy: Banwell.4) Solid State Physics: C. Kittle5) Magnetism in Condensed Matter: Stephen Bludell6. O. Madelung – Introduction of Solid State Theory (Springer).7. J.M. Ziman: Principles of the theory of solids

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Course Code: PHY-DSE-1003 Course Title : String Theory-IICredits: 04 Lectures: 64

UNIT-I

Overview of Strings. Why Strings,(Closed and Open) Action for relativistic point particle,Reparametrization invariance, Equations of motion. Relativistic particle with an electriccharge. Generalizations of relativistic particle with an electric-charge . Generalization ofrelativity to strings, Area functional for space-time, Reparmatrization invariance of area,Nambu Gotto action, Equations of motions boundary conditions and d branes , staticgauge ,Tension And Energy of stretched string in terms of velocity. Action in terms ofTransverse velocity. Motion of open strings end points . physical interpretation of stringequation of motion ,wave equation and constraints, general motion of open strings.

UNIT-IIWorld sheet currents ,electric charge conserved charges from lagrangian symmetries,conserved currents on the world sheet , momentum current Lorentz’s symmetry andassociated currents , string slope parameter .Relativistic strings light ,cone Hamiltonian, ,commutators commutation relation of oscillators ,strings as harmonic oscillators ,transversevirasoro operators, Lorentz generators ,tachyons and d brane decay Relativistic quantumclosed strings, mode expansions and commutation relations , closed strings and virasorooperators ,string coupling and dilation , brief look at superstring theories

UNIT-III Dbranes and gauge fields, Dp branes and boundary conditions ,Quantizing open strings onDp branes . Fundamental string charge and D brane charges .Electromagnetic fields in Dbranes, Maxwell couplings to open strings. Dbranes with electric field , D branes withmagnetic fields ,Born field theory and T duality T-duality symmetries, T-duality and D Branesduality symmetries and Hamiltonian of closed string theory, winding strings ,T duality and Dbranes ,U(1) Gauge transformations and wilson lines on the circle.

UNIT-IIIRecent developments in String Theory, String Geometry. Calabi- yau manifolds , Calabi-yau Compactifcations. examples and their mathematical properties. Black Holes and Thermodynamics of Black Holes in ( String Theory),AdS- CFT Correspondence (Gauge /Gravity-Duality)

Text Books:

1. 1 A First Course in String Theory by Barton ZwiebachReference books:

1. An Introduction to the Bosonic String Joe Polchinski, Volume 1: 2. String Theory and M-Theory: A Modern Introduction,by Katrin Becker, Melanie

Becker and John Schwarz (CUP, 2006)3. String Theory in a Nut- Shell( Elias Kirtisis)4. String Theory on Calabi-Yau Manifolds, Brian Greene 5. Elegant universe, Brian Greene6. The shape of inner space ( string theory and the geometry of universes’ hidden

dimensions) Shng-Tung Yau and Steve Nadis

Course Code: PHY-SCP-II Course Title : Project-IICredits: 04

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Department of Physics · 2019-05-12 · Syllabus for 5-year Integrated B. Sc. -M. Sc. Physics Programme, Physics Department, CUK Semester-IX No Course code Title of the Course Course