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