
Advanced Quantum Mechanics II (FYST37)
7.5 HP

This
site is no longer in use. Please refer to Live@Lund website for the course.
Survey of the course
(available from June 1, 2016, after the exam)
Your comments and suggestions
to improve the course would be very much appreciated
Reexam is on Friday, August
26, 9:0014:00 H322
Please let me know by email if
you are going to take the reexam.
General
information
This
course is a continuation of Advanced Quantum Mechanics (FMFN01, LTH) or
Quantum Mechanics (FYSN17, Nfak).
Content
of the course
 Fundamental
concepts and quantum dynamics: momentum as generator of space translation,
Hamiltonian as generator of time translation, time evolution, Schrödinger
vs Heisenberg pictures
 Propagators and
Feynman path integrals
 Theory of angular
momentum: Rotations and angular momentum commutation relations, Euler
rotations, representations of rotation operator, angular momentum
addition, tensor operators, WignerEckart theorem
 Spin correlation
and Bell's inequality
 Symmetry in quantum
mechanics: conservation laws and degeneracies, parity, timereversal
symmetry
 Approximation
methods: the interaction picture, timedependent perturbation theory
 Scattering theory:
LippmannSchwinger equation, Born approximation, optical theorem, method
of partial waves
Recommended prerequisites
·
Advanced Quantum Mechanics
(FMFN01, LTH) or Quantum Mechanics (FYSN17, Nfak)
Schedule
and Place (Spring 2016)
 Introduction
meeting: Tuesday, March 29,
2016, at 10:15 H322 (Fysicum)
 Lecture 1: 10:1512:00 Thu, Mar 31, Sal F
(K404), Fysicum
 Lecture 2: 10:1512:00 Tue, Apr 5,
H322
 Lecture 3: 10:1512:00 Thu, Apr 7,
Sal F
 Lecture 4: 13:1515:00 Tue, Apr 12, Sal F
 Lecture 5: 13:1515:00 Thu, Apr 14, Sal F
 Lecture 6: 13:1515:00 Tue, Apr 19, Sal F
 Lecture 7: 10:1512:00 Thu, Apr 21, Sal F
 Lecture 8: 13:1515:00 Tue, Apr 26, Sal F
 Lecture 9: 10:1512:00 Thu, Apr 28, Sal F
 Lecture 10:
10:1512:00 Tue, May 3, H322
 Lecture 11:
10:1512:00 Tue, May 10, H322
 Lecture 12:
10:1512:00 Thu, May 12, H322
 Lecture 13:
10:1512:00 Tue, May 17, H322
 Lecture 14:
10:1512:00 Thu, May 19, H322
 Exercises:
H322 (Fysicum), 13:1515:00 Friday
 Excercise 1: April
8
 Excercise 2: April
15
 Excercise 3: April
22
 Excercise 4: April
29
 Excercise 5: May
13
 Excercise 6: May
20
 Excercise 7: May
27
Please check
for possible change of schedule
Tentative outline of the lectures
Literature
J. J. Sakurai [and Jim Napolitano]: Modern Quantum Mechanics
(Pearson Education 2011).
Summary of
Sakurai and supplementary notes. (Updated 20160406)
Exercises
The exercise problems are taken from Sakurai.
Suggested exercises, 2012,
from the course book (2nd edition, Sakurai/Napolitano 2011):
Week 1 : 1:4, 1:8, 1:9, 1:11, 1:13, 1:24, 1:27, 1:30, 1:33a
Week 2 : 2:1, 2:3, 2:5, 2:6, 2:9, 2:12, 2:13, 2:15, 2:17 (Do together Problems 2.3, 2.5)
Week 3 : 2:23, 2:30, 2:31, 2:37a, 2:39, 3:1, 3:4, 3:5, 3:9 (Do together Problems 2.39, 3.4)
Week 4 : 3:13, 3:19, 3:20, 3:24, 3:26, 3:28, 3:29, 3:31, 3:32 (Do together Problems 3.13, 3.32)
Week 5 : 4:2, 4:3, 4:4, 4:5, 4.7, 4.8, 4.9, 4:12 (Do
together Problems 3.31, 4.12)
Week 6 : 5:23, 5:25, 5:26, 5:28, 5:30, 6:1a,b, 6:2 (Do
together Problems 5.25, 6.1)
Week 7 : 6:4, 6:7, 6:10a, 7.3 (cf. problems 3.24), 7.5, 7.6 (Do together Problem 6.10a)
The same exercises as above but from the older Revised
Edition, 1994:
Week 1 : 1:4, 1:8, 1:9, 1:11, 1:13, 1:24, 1:27, 1:30, 1:33a
Week 2 : 2:1, 2:3, 2:4, 2:5, 2:8, 2:11, 2:12, 2:14, 2:16
Week 3 : 2:21, 2:27, 2:28, 2:34a, 2:36, 3:1, 3:3, 3:4, 3:8
Week 4 : 3:12, 3:17, 3:18, 3:20, 3:22, 3:24, 3:25, 3:27, 3:28
Week 5 : 4:2, 4:3, 4:4, 4:5, 4.7, 4.8, 4.9, 4:12
Week 6 : 5:23, 5:25, 5:26, 5:28, 5:30, 7:1a,b, 7:2
Week 7 : 7:3, 7:6, 7:9a, 6.2 (cf. problems 3.20), 6.4, 6.5
Solutions will be available below after each exercise.
Solutions to Week 1
exercises.
Solutions to Week 2 exercises
Solutions to Week 3 exercises
Solutions to Week 4 exercises
Solutions to Week 5 exercises
Solutions to Week 6 exercises
Solutions to Week 7 exercises
Examination
Written exam. Date
and place: 20160601, 8:0013:00, Eden
025, Paradisgatan 5, Hus H
Lecturer
Ferdi
Aryasetiawan, Rm B305, phone
046222 9089, ferdi.aryasetiawan_at_teorfys.lu.se (replace _at_ by @)
Exercises: Jon Grumer,
jon.grumer_at_teorfys.lu.se
Welcome!
Updated 2016, April 06.