Applied Quantum Mechanics, Physics 709 (Wysin)
Kansas State University, Fall 1998.
Office Hours:
Tuesday, Thursday, 1:30 -- 2:30 CW 309 or CW 316/317.
For more course information, go here:
Fall 1998 Physics 709 Syllabus.
Lecture Notes
Based on texbook:
Introduction to Quantum Mechanics, by David J. Griffiths,
Prentice-Hall, Inc. (1995).
- Old Quantum theory,
-
Black bodies, photo-electric effect,
photons, Compton effect,
Bohr-Sommerrfeld quantization.
- 1D Schrodinger Equation,
-
A linear equation ,
stationary states,
free particle,
momentum-space,
delta potential well,
bound/scattering states,
transmission/reflection,
delta barrier.
- 3D Schrodinger Equation:
-
infinite well,
density of states,
spherical symmetry,
spherical harmonics,
radial equation 1,
radial equation 2,
hydrogen energies.
- Angular momentum:
-
algebra 1,
algebra 2,
algebra 3,
spin-1/2 1,
spin-1/2 2,
electron in B ,
addition 1,
addition 2,
Spin-s + Spin-1/2,
more Spin-s + Spin-1/2.
- Identical particles:
-
identical,
bosons, fermions, exchange,
hydrogen molecule,
helium atom,
periodic table,
free electrons,
degneracy pressure,
white dwarfs,
white dwarfs,
Bloch Theorem,
Dirac Comb,
energy bands,
Example problem on Dirac Comb,
- Approximation method: Perturbation Theory:
-
theory,
1st order,
2nd order,
degenerate 1,
degenerate 2,
Stark 1,
Stark 2,
spin-orbit 1,
spin-orbit 2,
relativistic,
weak Zeeman,
strong Zeeman,
strong Zeeman n=2,
intermediate Zeeman,
hyperfine 1,
hyperfine 2,
hyperfine 3,
- Approximation method: Variational Principle:
-
Approximate energies, simple harmonic oscillator,
SHO, helium atom,
helium, H2+ ion,
H2+ ion integrations,
H2+ ion results.
- State Transitions: Time-Dependent Perturbation Theory:
-
two-level theory,
sinusoids in time,
electromagnetic transitions,
incoherent perturbations,
spontaneous emission,
harmonic osc. lifetime example,
harmonic osc. quantization.
harmonic osc. matrix elements.
selection rules.
- Scattering Theory:
-
Classical differential x-section,
quantum scattering,
partial waves,
spherical Hankel functions,
quantum hard sphere,
integral Schrodinger equation [Born approx.],
f(theta) in Born approximation,
phase shifts, free particle,
f(theta) from phase shifts,
phase shift examples.
Exams and Solutions
-
Exam 1: 1D & 3D potentials & identical particles (pdf) ,
Solution .
-
Exam 1 Extra Credit: Extended Analysis of Problem 1,
Solution .
-
Exam 2: Approximation methods & degenerate gases (pdf),
Solution.
-
Exam 3: State transitions and scattering (pdf),
Solution.
Other Links At KSU
access since 99/02/09.
Last update: Thursday December 22 2005.
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wysin@phys.ksu.edu