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Advanced Quantum Mechanics II (FYST37)
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This
site is no longer in use. Please refer to Live@Lund website for the course.
Exam
result June 1, 2016
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
Re-exam is on Friday, August
26, 9:00-14:00 H322
Please let me know by email if
you are going to take the re-exam.
General
information
This
course is a continuation of Advanced Quantum Mechanics (FMFN01, LTH) or
Quantum Mechanics (FYSN17, N-fak).
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, Wigner-Eckart theorem
- Spin correlation
and Bell's inequality
- Symmetry in quantum
mechanics: conservation laws and degeneracies, parity, time-reversal
symmetry
- Approximation
methods: the interaction picture, time-dependent perturbation theory
- Scattering theory:
Lippmann-Schwinger equation, Born approximation, optical theorem, method
of partial waves
Recommended prerequisites
·
Advanced Quantum Mechanics
(FMFN01, LTH) or Quantum Mechanics (FYSN17, N-fak)
Schedule
and Place (Spring 2016)
- Introduction
meeting: Tuesday, March 29,
2016, at 10:15 H322 (Fysicum)
- Lecture 1: 10:15-12:00 Thu, Mar 31, Sal F
(K404), Fysicum
- Lecture 2: 10:15-12:00 Tue, Apr 5,
H322
- Lecture 3: 10:15-12:00 Thu, Apr 7,
Sal F
- Lecture 4: 13:15-15:00 Tue, Apr 12, Sal F
- Lecture 5: 13:15-15:00 Thu, Apr 14, Sal F
- Lecture 6: 13:15-15:00 Tue, Apr 19, Sal F
- Lecture 7: 10:15-12:00 Thu, Apr 21, Sal F
- Lecture 8: 13:15-15:00 Tue, Apr 26, Sal F
- Lecture 9: 10:15-12:00 Thu, Apr 28, Sal F
- Lecture 10:
10:15-12:00 Tue, May 3, H322
- Lecture 11:
10:15-12:00 Tue, May 10, H322
- Lecture 12:
10:15-12:00 Thu, May 12, H322
- Lecture 13:
10:15-12:00 Tue, May 17, H322
- Lecture 14:
10:15-12:00 Thu, May 19, H322
- Exercises:
H322 (Fysicum), 13:15-15:00 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 2016-04-06)
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.
Examination
Written exam. Date
and place: 2016-06-01, 8:00-13:00, Eden
025, Paradisgatan 5, Hus H
Previous exams: 2009, 2010, 2012, 2013
Lecturer
Ferdi
Aryasetiawan, Rm B305, phone
046-222 9089, ferdi.aryasetiawan_at_teorfys.lu.se (replace _at_ by @)
Exercises: Jon Grumer,
jon.grumer_at_teorfys.lu.se
Welcome!
Updated 2016, April 06.