General
Course Notes
Homework
Exams
Home
Course notes
Section A: Basics
A.1: Classical Mechanics
.
A.2: Elementary Quantum Theory
.
A.3: Introduction to Path Integrals
.
A.4: Quantum Measurements & Entanglement
.
A.5: Quantum Statistics
.
Section B: Perturbative Methods in Quantum Mechanics
B.1: Some exact results in QM
B.2.1: Scattering theory -- General results
.
B.2.2: Scattering theory -- Applications and examples
.
Section C: Adiabatic and Quasiclassical Approximations
C.1: Slow processes in quantum mechanics
C.2: Born-Oppenheimer approximation
C.3: Quasiclassical approximation
C.4: Instantons
Section D: Spin in Quantum Mechanics
D.1: Spin path integral
D.2: Spin dynamics
D.3: Spin tunneling
Physics Supplements
Physics Supplement 1: Basics of quantum mechanics
Physics Supplement 2: Fluctuation Determinant
Physics Supplement 3: Propagator and particle in a magnetic field
Physics Supplement 4: Density matrix dynamics
Physics Supplement 5: Spin representations
Math supplementary material:
MS.1. Complex variables
MS.2. Remarks on contour integration
MS.3a. Series summations
MS.3b. Series summations -- examples
MS.4. Asymptotic analysis
MS.5. Steepest Descents
MS.6. Remarks on Green Functions
MS.8. A Noise Primer
Supplementary reading:
pdf 1
pdf 2
pdf 3
pdf 4
.
pdf 5
.
pdf 6
.
pdf 7
.
pdf 8
.