PHYS425
Quantum Mechanics II
Course description
Second in a sequence with PHYS 424 that provides introduction to basic principles and applications of quantum mechanics. Emphasis on approximation methods with illustrative applications. Topics include: time-independent and time-dependent perturbation theory, variational principle, WKB approximation, and introduction to scattering. The course textbook: Introduction to Quantum Mechanics, David J. Griffiths, Second Edition, Chapters covered (some partially): 5-8, 11.
Lectures 1 -2
Review of angular momentum. Addition of the angular momenta.
Lecture 3
Two-particle systems
Lecture 4
Review of hydrogen and helium atoms. Periodic table
Lecture 5
Solids: Free electron gas
Lecture 6
Degeneracy pressure. Solids: Band structure
Lecture 7
Quantum statistical mechanics
Lecture 8
Quantum statistical mechanics contd.
Lecture 9
Nondegenerate perturbation theory
Lecture 10
Problem solving. Degenerate perturbation theory
Lecture 11
Perturbation theory. Problem solving
Lecture 12
The variational principle
Lecture 13
The variational principle. Helium atom
Lecture 14
The Helium atom continued. The WKB approximation
Lecture 15
The WKB approximation
Lecture 16
The WKB approximation. Alpha decay. Problem solving.
Lecture 17
WKB approximation, connection formulas.
Lecture 18
Scattering
Lecture 19
Quantum scattering theory. Partial wave analysis.
Lecture 20
Scattering. The Born approximation
Lecture 21
Time-dependent perturbation theory
Lecture 22
Emission and absorption of radiation. Lasers
Lecture 23
Review