PHYS 332: Quantum Mechanics II

Heres the answers to the final exam questions. Well done everyone and have a nice summer.

Syllabus

Textbook

Introduction to Quantum Mechanics, Second Edition, David J. Griffiths

Class meeting time and place

MWF 11:30am -12:20pm in ROCK 304

Web page

http://www.phys.cwru.edu/courses/p332

Instructor

Gavin A. Buxton

Office: ROCK 225A, phone: 368-4002, email: gavin.buxton@case.edu

Course Outcomes

Students should obtain a basic understanding of:
  • The treatment of identical particles in quantum mechanics: bosons and fermions;
  • Time independent perturbation theory, including degenerate perturbation theory;
  • Some applications of perturbation theory to atomic physics, including spin-orbit coupling, Zeeman effect, relativistic corrections;
  • The variational principle and method with applications to the He atom and Hydrogen molecule;
  • The Wentzel-Kramers-Brillouin method: applications to tunneling phenomena;
  • Time dependent perturbation theory: transitions between states;
  • The adiabatic approximation, including Berry's phase;
  • Scattering theory in 3D: partial wave analysis, Born's theorem;
  • The Measurement problem in Quantum Mechanics: Bell's theorem

Covered

Parts of the course covered so far:
  • Identical particles (pages 201-214 and 224-229)
  • Time-independent perturbation theory (pages 249-280)
  • Variational Principle (pages 293-314)
  • WKB Approximation (pages 315-339)
  • Time-dependent perturbation theory (pages 340-367)
  • Adiabatic Approximation (pages 368-380)
  • Scattering (pages 394-419)
Problems covered in class:
  • 5.1, and 5.2.
  • 6.1, 6.2, 6.4, 6.14, 6.18, and 6.23.
  • E7.1, 7.2, E7.2, E7.3, 7.7, 7.13, 7.4, and 7.11.
  • E8.1, 8.1, 8.7, E8.2, 8.10, and 8.15 is interesting (I would have set this for homework but we covered this material during an exam week).
  • 9.1, 9.2, 9.5, 9.10, 9.11, E9.1, 9.14, 9.17 and 9.18
  • 10.3, 10.8
  • 11.1, E11.3, 11.5, 11.6, E11.5, E11.6, 11.9, 11.10

Evaluation

Your grade will be based on:
  • Homework assignments (40 %): Assignments will be posted on website. Deadline will be 1pm and no late homeworks will be accepted . Grade will depend on best 10 assignments from 11.
    Homework Due Date
    1 Wednesday 23rd Jan.
    2 Monday 28th Jan.
    3 Monday 4th Feb.
    4 Monday 18th Feb.
    5 Monday 25th Feb.
    6 Monday 3rd March
    7 Monday 24th March
    8 Monday 31st March
    9 Monday 7th April
    10 Monday 21st April
    11 Monday 28th April
  • Three tests, tentative dates: 8th February, 7th March, and Wednesday 9th April. (each 10 %)
  • Final exam: Friday 2nd May 8:30am to 11:30am. (30 %)