Physics 461 Quantum Mechanics II
Selected Lecture Notes
(All notes are scanned as .pdf documents)
Course
Outline (Tentative)
0.) The Postulates Of Quantum Mechanics
1.) Introduction & Review
2.) Symmetry In Quantum Mechanics: Space
Translations
3.) Symmetry In Quantum Mechanics: Time
Translations
4.) Symmetry In Quantum Mechanics: Discrete
Symmetry- Space Inversion
5.) Symmetry In Quantum Mechanics: Discrete
Symmetry- Time Reversal
6.) Symmetry In Quantum Mechanics: Space Rotations
7.) Space Rotations And Spin
8.) Space Rotations And The Standard Basis
9.) Wavefunctions: Spin Zero Particles
10.) Wavefunctions: Spin 1/2 Particles
11.) Examples: Zeeman Effect
12.) Examples: Larmor Precession
13.) Addition of Angular Momentum
14.) Identical Particles
15.) Rayleigh-Schrodinger Perturbation Theory
16.) Rayleigh-Schrodinger Perturbation
Theory: Non-Degenerate
17.) Rayleigh-Schrodinger Perturbation
Theory: Degenerate
18.) Rayleigh-Schrodinger Perturbation
Theory: Fine Structure of Hydrogen Atom Spectra
19.) Rayleigh-Schrodinger Perturbation
Theory: Hyperfine Splitting
20.) Rayleigh-Schrodinger Perturbation
Theory: Zeeman Effect
21.) Rayleigh-Schrodinger Perturbation
Theory: Stark Effect
22.) The Rayleigh-Ritz Variational Method
23.) The WKB - Semi-Classical Approximation---See Chapter 8 of Text
24.) Time Dependent Perturbation Theory:
Introduction
25.) Time Dependent Perturbation Theory:
Fermi's Golden Rule
26.) Time Dependent Perturbation Theory:
Semi-Classical Treatment of Radiation
27.) Time Dependent Perturbation Theory:
Examples
28.) Schrodinger, Heisenberg and Interaction
Pictures
29.) Cross-Sections: Review