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SP425
Quantum Mechanics II
with
Advanced Laboratory II
QM Courses
• SP327 Modern– relativity– old quantum theory– QM overview
• SP324 Quantum I with Advanced Lab I– QM formalism with strange math
• SP425 Quantum II with Advanced Lab II– What do you do if ... ? (aka perturbation theory)– QM Applications survey
• Hydrogen atom• multielectron atoms• molecules• nuclear• solid state• elementary particles• quantum statistics
Recommended Resources
• Eisberg & Resnick– std junior year physics book, but...
• http://hyperphysics.phy-astr.gsu.edu/hbase/quacon.html#quacon • ...do some surfing....• Griffiths “Intro to QM”
– available in lab• Melissinos “Experiments in Mod Phys”
– available in lab
SP425 Short Syllabus
• Uncertainty Analysis• SP324 Review• Perturbation Theory – how to correct oversimplified calcs• Time-dep Perturb Theory – how to calculate decay rates
• Corrections to the simplified hydrogen atom from last semester• Multi-electron Atoms• Molecules• Quantum Statistics (preview to SP444: Stat Mech)
• Nuclear• Solid State / Condensed Matter / Superconductivity / SQUIDS• Elementary Particles• Relativisitic Quantum Mechanics: Dirac Equation
SP425 Lab Emphasis
• Use real equipment, do your own thing
• Do your own background reading
• Technical writing for physics (satisfies USNA capstone requirement)
FIND AVAILABLE DOCUMENTATION sheets & manuals, Melissinos suggestion sheets
FIND PARTS
ASSEMBLE
TAKE PRELIM DATAand do quick analysis to verify correct assembly & parts working
Goodto Go
?
TAKE GOOD DATA and analyze
How can results be improved?
MAKE ADJUSTMENTS
FINAL ANALYSIS
WRITE REPORT
FIGURE OUT WHAT TO DO
YOU FOUND IT, YOU FIX IT*
SP324
SP425
*If it’s broken, inform JeffV
Ocean Optics Spectrometers
Absorption of solar radiation
Typical line spectrum
~ 2 nm
Jarrell-Ash ½ meter
• Hydrogen/deuterium reduced mass
• Fine structure energy splittings in Na & Hg
~ eV
Jarrell-Ash 1 meter
• Hydrogen/deuterium reduced mass
• Fine structure energy splittings in Na & Hg
~ eV
Telatomic ESR & PSR
• Measure electron gs
• Measure proton gs
Leybold-Didactic ESR
• Measure electron gs
• Examine the ‘medium’ effects upon the electron gs
Telatomic Pulsed NMR
g-factor is used to determine the environment of the electron in various materials
TeachSpin Optical Pumpingin Rb
How magnetic fields affect the energies of states with
mj ml ms
Especially the selectivity of transitions
High-Temp Superconductivity
Study the superconducting transition and compare yittrium & bismuth compounds.
Measure superconducting currents & B-fields
NanoScience Scanning Tunneling Electron Microscope
Take pictures of individual atoms and defects on surfaces.
Extremely High Resolution Ocean Optics Spectrometer
Observe fine structure splittings in
Hydrogen & Deuterium
(I hope)
~0.003 nm
Accelerator Measuring the inner electron orbits of atoms and how that information can be used for composition determinations.
Jarrell-Ash 2 meter
• Fine Structure in Deuterium
• Zeeman Effect in isotopic Hg
Leybold-Didactic Zeeman Effect in Cd
How magnetic fields affect the energies of states with
mj ml ms
Recommended