53717

Quantum Mechanics II

Spring 2012


Lecturer: Paul Hoyer C321  191 50681 
Assistant: Paavo Tiitola A313   191 50548 
Lectures: Mo 12-14  A315 
We 12-14  A315  
Exercises: Tu 16-18  A315  

Problem solutions should be put in the box on the 2nd floor of the A-wing by Monday at 12:00.

Partial exams: 1. Tuesday 6.3 13:00-17:00 CK112Exactum On topics up to (but not including) time reversal,
i.e., the 66 first pages of the 2012 lecture notes.

Results    Problem solutions
2. Tuesday 8.5 09:00-13:00 A111Exactum On topics from (and including) time reversal,
until lecture note page qm2 164.

Results    Problem solutions
You may review your exam papers in Paul Hoyer's office.

Final exam: Those who could not attend both partial exams, or who wish to improve their grade, may register for the
departmental exam on 16 May. The grades for Quantum Mechanics II will then (and only then) be weighted with
the points earned from solutions of the exercises, similarly as the grade based on the partial exams. After the weboodi
registration deadline 7.5, but at the latest on 9 May, you may register by email to Tiina Hasari <tiina.hasari@helsinki.fi>.


This is an advanced course in quantum mechanics, building on the basic concepts introduced in the course Quantum mechanics I.
The applications of quantum mechanics to topical issues in modern physics are shown as examples.
The course introduces the general methods required to address these and other topics.

Topics:
1. Basic concepts
2. Rotational symmetry
3. Discrete symmetries
4. Local gauge invariance
5. The quantized photon field
6. Relativistic quantum mechanics
7. Quantum field theory

Textbooks: J. J. Sakurai: Modern Quantum Mechanics (Addison Wesley 1994)  [S1]
J. J. Sakurai: Advanced Quantum Mechanics (Addison Wesley 1967)  [S2]
I. J. R. Aitchison and A. J. G. Hey: Gauge Theories in Particle Physics, Vol. I:
From Relativistic Quantum Mechanics to QED (IOP Publishing, 3rd Edition, 2003)  [AH]
J. Niskanen: Kvanttimekaniikka II (Limes 2003)  [N]

Table of Clebsch-Gordan coefficients, spherical harmonics, gradients, Pauli and Dirac matrices.

Lecture notes (p. 1-154)
Slides (p. 1-72)

Problems:
24.1
Ex_1.pdf
31.1
Ex_2.pdf
7.2
Ex_3.pdf
14.2
Ex_4.pdf
21.2
Ex_5.pdf
28.2
Ex_6.pdf
13.3
Ex_7.pdf
20.3
Ex_8.pdf
Solutions: Sol_1.pdf Sol_2.pdf Sol_3.pdf Sol_4.pdf Sol_5.pdf Sol_6.pdf Sol_7.pdf Sol_8.pdf
27.3
Ex_9.pdf
3.4
Ex_10.pdf
17.4
Ex_11.pdf
24.4
Ex_12.pdf
2.5
Ex_13.pdf
Sol_9.pdf Sol_10.pdf Sol_11.pdf Sol_12.pdf Sol_13.pdf

Quantum Mechanics II in: 1999 2000 2001 2002 2003 2004 2005
2006 2007 2008 2009 2010 2011
Problems of past partial exams: 1/2003 2/2003 1/2004 2/2004 1/2005 2/2005 1/2007 2/2007
1/2008 2/2008 1/2009 2/2009 1/2011 2/2011
Problems of past final exams: 16.5.2003 4.6.2003 13.8.2003 2.6.2004 16.6.2004 11.8.2004
21.1.2005 8.6.2005 17.8.2005 25.11.2005 30.5.2007 20.6.2007
28.3.2008 28.5.2008 27.5.2009 17.6.2009 20.1.2010

Nordita Master Class in Physics 28 July - 4 August 2012 in Hillerød, Denmark (recommended!)