Spring 2026 PHYS 7230 Quantum Theory II
Instructor: Mengxing Ye (JFB 305)
Time: MW 12:55 - 2:50 PM
Location: LSSB W4202
Textbooks:
Modern Quantum Mechanics (2nd edition), J. J. Sakurai and Jim Napolitano (Cambridge University Press, 2017). ISBN 978-1108422413.
Any edition is fine. But note that the homework problems and syllabus are based on the 2nd edition.
Course Syllabus:
Week 1-7: Review of Chapter 4 (Symmetries), Chapter 5 (Perturbation Theory), Berry phase in quantum mechanics
Week 8-14: Chapter 6 (Scattering Theory)
Week 14-15: Chapter 7 (Identical Particles), path integral in quantum mechanics
Week 16: Review
Course schedule and lecture notes for Spring 2025 through the link. Modifications may be made for this semester.
Schedule:
(Reading materials listed in parenthesis)
Week 1:
01/05/26 -- Review: Symmetries in QM (Ch. 4)
01/07/26 -- Review: Symmetries in QM: time-reversal, lattice translation; Time-independent perturbation theory (Ch. 4, Ch. 5.1)
Week 2:
01/12/26 -- Time-independent perturbation theory: non-degenerate case (Ch. 5.1)
01/14/26 -- Time-independent perturbation theory: non-degenerate case cont'd; degenerate case (see lecture notes for 01/12 and 01/21; Ch. 5.2)
Week 3:
01/21/26 -- degenerate case cont'd; Application: Stark effect (Stark effect: Ch. 5.1, 5.2)
Week 4:
01/26/26 -- Application: Hydrogen like atoms (Ch. 5.3)
01/28/26 -- Hydrogen like atoms cont'd; variational method (Hydrogenlike atoms: 5.3; variational method 5.4)
Week 5:
02/02/26 -- Berry phase in QM
02/04/26 -- Time-dependent potential: interaction representation
Week 6:
02/9/26 -- Time-dependent perturbation theory
02/11/26 --
Week 7:
02/18/26 --
Week 8:
02/23/26 --
02/25/26 --
Week 9:
03/02/26 --
03/04/26 --
Week 10: Spring Break
Week 11:
03/16/2026 --
03/18/2026 --
Week 12:
03/23/26
03/25/26
Week 13:
03/30/26
04/01/26
Week 14:
04/06/26
04/08/26
Week 15:
04/13/26
04/15/26
Week 16:
04/20/26: Overview
Week 17:
Final take home exam