M.Sc. (Physics) curriculum, Tribhuvan University 2073

35

PHY602: Electrodynamics II 3 CH (45L+15T) Nature of the course: Theory Full Marks: 75 Pass Marks: 37.5 Course Description:

The aim of the course is to impart knowledge of classical electrodynamics and an introduction of Quantum Electrodynamics. This is in continuation of the second semester course.

Objectives: The objective of this course is to train the students in the methods of classical and quantum electrodynamics and apply it to solve problems in electrodynamics.

Course Contents:

1. Relativistic electrodynamics: [12 hours] 1.1 Lagrangian and Hamiltonian of relativistic charged particle in external electromagnetic

field, 1.2 Motion in a Uniform, Static Magnetic Field, 1.3 Motion in combined, Uniform, Static Electric and Magnetic Fields, 1.4 Lagrangian for electromagnetic field, 1.5 Canonical and symmetric stress tensors; Conservation laws, 1.6 Solution of wave equation in covariant form.

2. Scattering: [10 hours]

2.1 Energy transfer in a Coulomb collision between heavy incident particle and stationary free electron; energy loss in hard collisions,

2.2 Energy loss from soft collisions; total energy loss, 2.3 Density effects in collision, energy loss, 2.4 Elastic scattering of fast particles by atoms, 2.5 Mean Square of Scattering: Angular Distribution of Multiple Scattering.

3. Radiation by moving charge: [12 hours]

3.1 Lienard - Wiechert potentials and fields for a point charge, 3.2 Total power radiated by an accelerated charge, 3.3 Angular distribution of radiation emitted by an accelerated charge, 3.4 Radiation from extremely relativistic charge, 3.5 Frequency and angular distribution of energy, 3.6 Frequency spectrum of Radiation by relativistic charges in circular motion, 3.7 Thomson scattering.

4. Brehmsstrahlung: [3 hours]

4.1 Radiation emitted during collisions, 4.2 Brehmsstrahlung in Coulomb collision (Classical Brehmsstrahlung only).

5. Quantum Electrodynamics: Interaction of Light with Matter [8 hours]

5.1 Fermi’s Method: A Discussion, 5.2 Laws of Quantum Electrodynamics, 5.3 Absorption of Light, 5.4 Selection Rules, 5.5 Equilibrium of Radiation,

M.Sc. (Physics) curriculum, Tribhuvan University 2073

36

5.6 Scattering of Light.

Text Book:

1. Jackson J. D.– Classical Electrodynamics (3rd Ed), John Wiley and Sons, New York (1998). 2. Feynman R. P., Huggins R. P., Yura H. T. – Quantum Electrodynamics, W. A. Benjamin Inc.

(1961). Reference Book:

1. Panofsky W.K.H. and Phillips M. – Classical Electricity and Magnetism, Addison - Wesley,

Reading Mas (1962).

2. Greiner, Walter – Classical Electrodynamics, Springer-Verleg, New York (1998).

3. Griffiths David J. – Introduction to Electrodynamics (4th Ed.), Addison-Wesley (2013).

4. Peskin M. E and Schroeder D. V. – An Introduction to Quantum Field Theory, Perseus

Books Publishing (1995).