QUANTUM MECHANICS

FKA081/FIM400 for IMP(F)/F4/GU fall 2017 (5p)
[ OFFICIAL SCHEDULE ]     [ ACADEMIC CALENDAR ]





Course goals: See link

Piazza self signup with Chalmers email
If you prefer/only have gu.se send me an email to stellan.ostlund@physics.gu.se and I will sign you up.

Piazza

OpenTA self signup with gu or chalmers email

Lectures and Examination
Stellan Östlund   S3006 Soliden,
tel.: 0767619006, e-mail: stellan.ostlund@physics.gu.se
Office hours: Fridays 13:15-15 Soliden Floor 3 room 3006

Book:
Shankar, Principles of Quantum Mechanics Any version of this book will be adequate.
Cremona ordered the version ISBN9781292024103. Note that there is an e-book available on adlibris.
If you have access to any version of the book, don't buy another version; they don't differ enough to warrant a repurchase.

Web page:

CALENDAR SUBSCRIPTION
http://fy.chalmers.se/~ostlund/qm2
http://physics.gu.se/~ostlund/qm2

Below is the inofficial schedule and rooms together with a preliminary course outline;
TIME EDIT DEFINES COURSE TIMES]

Week 35
Historical intro by Michael Fowler
29 Aug 10:00 [ Notes L2 ] Slides 1 [ goals ] [ Figure Lecture 1 ] [ Fig1 ] [ Fig2 ] [ Fig3 ] Historical introduction
30 Aug 08:00 [ Notes L2 ] Slides 2 [ goals ] [ double slit movie ] [ Stern Gerlach exeriment history ] Historical introduction, formalism
Chapter 3
1 Sep 10:00 [ Notes L3 ] Lecture 3 [ goals ] Polarizes and analog to Stern Gerlach experiment
Week 36
Chapter 1, 5
5 Sep 10:00 [ Lecture Notes L4 ] formalism, inner product spaces , Stern Gerlach
6 Sep 8:00 [ Lecture Notes L5 ] Lecture 4 [ goals ] Time evolution of operators
8 Sep 10:00 Practice [ Notes (Shankar Chapter 5) 1-D Schrödinger Equation
9 Sep 17:00 Homework 1 due
Week 37
Chapter 4,6,7 (postpone density matrix)
12 Sep 10:00 [ Notes ] (Shankar Chapters 4,6) [ goals ] Harmonic Oscillator; ladder operators
15 Sep 08:00 [ Notes ] [ goals ] Rotations
15 Sep 10:00 Practice Multiparticle spaces, Bell inequality
Week 38
Week 38 Coleman Lecture [ Notes on EPR ] [ Is the moon there when nobody looks? ] [ Notes GHZ ]
Week 38 Shankar Chapter 14, sections 1-3
19 Sep 17:00 Homework 2 due
19 Sep 10:00 [ Notes on EPR ] [ Notes GHZ ] Slides [ goals ] EPR/GHZ/entanglement
20 Sep 08:00 [ Notes ] [ goals ] No Cloning, Cryptography, GHZ, Teleportation
22 Sep 08:00 [ Notes ] rotations
22 Sep 10:00 [ Finite Potential Well Mathematica Notebook ] rotations
Week 39
25 Sep 17:00 Homework 3 due
26 Sep 10:00 [ Notes ] [ Mathematica notebook for spherical coordinates ] [ goals ] [ Additional material on Hunds Rules ][ Atomic ground states in spectroscopic notation ] Wigner Eckart theorem
27 Sep 08:00 [ Notes ] [ goals ] Density matrices
29 Sep 10:00 [ Notes ] [ crystal field splitting example ] Rotations, Density matrices
Week 40
03 Oct 10:00 [ Notes ] [ Periodic Table ] [ goals ] Symmetries and conservation laws
4 Oct 17:00 Homework 4 due
04 Oct 08:00 [ Notes ] [ goals ] Symmetries and conservation laws
5 OCTOBER - LAST DAY TO REGISTER FOR EXAM
06 Oct 08:00 [ Electromagnetism / ] [ goals ] Gauge symmetry
06 Oct 10:00 [ goals ] Gauge symmetry
Week 41
10 Oct 17:00 Homework 5 due
10 Oct 10:00 [ Notes ] [ goals ] Density matrices
11 Oct 10:00 [ Notes ] [ goals ] [ Schrieffer-Wolff original paper ] Perturbation theory
13 Oct 08:00 [ Notes ] [ Notes 2016 ] [ goals ] Perturbation theory
13 Oct 10:00 Practice Perturbation theory
Week 42
17 Oct 10:00 [ Notes ] Time Dependent Perturbation Theory, Lasers, Variational Method
18 Oct 08:00 [ Notes ] WKB
20 Oct 10:00 [ Notes ] Intro Dirac Theory
20 Oct 13:15 Homework review
21 October 17:00 [ Funny ] Homework 6 due problems
Week 43
25 Oct 14:00 Tenta Johanneberg / Maskin
Week 49
4 DECEMBER - LAST DAY TO REGISTER FOR RE-EXAM
Week 51
19 Dec 14:00 Omtenta Johanneberg / Maskin

Final exam study guide

The following topics will make up the exam

General principles, LaGrangian, Hamiltonian, quantization
Harmonic oscillator, resolution of unity
Angular momentum addition, solutions of coupled spins
Heisenberg representation of operators, Campbell-Baker-Hausdorff, functions of operators
Symmetries and conservation laws Time dependent first order perturbation theory and transition probability
Degenerate second order perturbation theory.

The following sheets will be provided at the exam

You may not use any material except ``BETA'' (Mathematics) , but it should not be needed. If you don't have a copy, you may borrow ``BETA'' from someone else during the exam. Calculators are permitted but are unnecessary.


GRADES

% of problems handed in Bonus points
> 25% 1
> 50% 2
> 75% 3

Grades

The final exam carries 30 points. For the exam scheduled at the end of the course and the two following ones, you can also collect a max of 3 bonus points from the homework, as explained above. The bonus points cease to be valid after one year.

Score in % ECTS scale Chalmers scale Goteborg U scale
> 79 A 5 VG
70 - 79 B 4 VG
60 - 69 C 4 G
50 - 59 D 3 G
40 - 49 E 3 G
< 40 F U U


Example: You score 19 points in the final and have 2 bonus points form the homework. Your score is (19 + 2)/30 *100% = 70%, if you take the regularly scheduled exam at the end of the course or the two exams after that, and 19/30 *100% = 63% for all following exams.

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