Ph125c: Quantum Mechanics

Michael Cross, Caltech

Academic Year 2007-2008, Spring Term: Syllabus

This is the syllabus for Ph125c. I will fill in the topics covered in lectures with links to the notes, suggested reading, homeworks and solutions as the term progresses (Caltech access only). See the outline for a list of topics that I plan to cover. For the course policies see here.

In the suggested reading S stands for Principles of Quantum Mechanics by Shankar and C-T for Quantum Mechanics by Cohen-Tannoudji, Diu and Laloe.


Week Monday Wednesday Friday Homework
March 31
S 473-483, 492-506
Lecture 1: Time dependent Hamiltonians (rev. 4/7/08) Lecture 2: Time dependent perturbation theory (rev. 4/2/08) Lecture 3-4: Interaction of atoms with em radiation Assignment 1
Solutions
April 7
S Chapter 15
C-T BXII and AXIII
For notes see previous lecture.
Handout: Wigner-Eckart
Lecture 5: Hydrogen 2p-1s
(Previously part of Lecture 3-4)
Lecture 6: Resonant transitions
Slides or notes
Assignment 2
Solutions
April 14
S 484-491, 523-544, 555-561
Also see Assignment 3
Lecture 7: Pictures and Berry phase: slides, notes Lecture 8: Scattering theory I:
Born approximation
Lecture 9: Scattering theory II:
Formal theory
Assignment 3
Solutions
April 21
Shankar Ch 19
Lecture 10: Scattering theory III:
Two particle scattering (including identical particles)
Lecture 11: Scattering theory IV: Partial wave analysis
notes (rev 4/25/08), slides, Mathematica 6 notebook
Finish off partial waves.
Lecture 12: Simple harmonic oscillator review
Assignment 4
Solutions
April 28 Lecture 13: Coherent states Lecture 14: Schrodinger cat states Lecture 15: Introduction to field theory Midterm
Solutions
May 5 Lecture 16: Spontaneous emission
notes, slides, Shankar pp506-521
Lecture 17: Field quantization in a cavity Lecture 18: Many Bosons or Fermions - notes, slides Assignment 5
Solutions
May 12 Lecture 19: Density matrix Lecture 20: Path integrals I Lecture 21: Path integrals II Assignment 6
Solutions
May 19 Lecture 22: Bose-Einstein condensation No lecture: Ditch Day Lecture 23: Superfluidity Assignment 7
Solutions
May 26 No lecture: Memorial Day Lecture 24: Weakly interacting Bosons, notes, slides Lecture 25: Path integrals and superfluidity No Assignment
June 2 Lecture 26: Electrons in a magnetic field Lecture 27: Electrons in solids I: slides. Lecture 28: Electrons in solids II Final exam
Solutions
June 9 No class No class No class


Last updated 18 June, 2008