Advanced Quantum Theory

Course at Universität Heidelberg, Spring 2011

ID Number

Module MVAMO2 of the Master's Curriculum

Instructor

Manfred Salmhofer

Contents

After a recap of basic quantum theory, a selection of the following topics will be covered: Scattering theory. States on composite systems, entanglement and Bell's inequalities. Open quantum systems. Systems of identical particles. Applications to quantum chemistry, Bose and Fermi systems. Functional integrals.

Prerequisites

Theory and mathematics courses from the Bachelor curriculum, in particular Quantum Mechanics.

Coordinates

Time: Fridays, 9:15-10:45, occasionally Tuesdays
Place: Großer Hörsaal des physikalischen Instituts, Philosophenweg 12

Exercise sessions

biweekly, Tuesdays, 11-13 and 14-16; see LSF page and Kambis Veschgini's AQT page.

Exam and Credits

The course is worth 4 credit points.

To pass the course and obtain the credit points, students must attend the exercise sessions, do the homework, and pass the exam at the end of the course. Details about this will be discussed in class.

The exam will take place on Friday, July 22, 2011, from 9:15 to 10:45 in großer Hörsaal, Philosophenweg 12.

Lectures:        1   2   3   4   5   6   7   8 / 9   10 / 11   12   13   14  
Homework:    1   2   3   4   5   6   7  

Literature

General Quantum Mechanics

A. Galindo, P. Pascual
Quantum Mechanics I and II
Springer, 1990

N. Straumann
Quantenmechanik
Springer, 2002

A. Peres
Quantum Theory: Concepts and Methods
Kluwer, 1998

Scattering theory

Chapter 8 of Galindo-Pascual

Chapter 7 of Straumann

K. Chadan, P.C. Sabatier
Inverse Problems in Quantum Scattering Theory
Springer, 1989

R.G. Newton
Scattering Theory of Waves and Particles
McGraw-Hill, 1982

M. Reed, B.Simon
Methods of Mathematical Physics Vol III: Scattering Theory
Academic Press, 1979

Composite Systems, Entanglement, and Bell's Theorem

Chapters 5 and 6 of Peres

N. D. Mermin
Hidden Variables and the Two Theorems of John Bell
Rev. Mod. Phys. 65 (1993) 803-815

John Bell
Speakable and Unspeakable in Quantum Mechanics
Cambridge University Press, 2004

K. Baumann, R.U. Sexl
Die Deutungen der Quantentheorie
Vieweg, 1983

Open Quantum Systems

E. Joos, H. D. Zeh, C. Kiefer, D. Giulini
Decoherence and the Appearance of a Classical World in Quantum Theory
Springer


last updated: last time   Manfred Salmhofer