Quantum Mechanics 2

Lecturer:

Libor Šnobl (gar.)

Tutor:

Libor Šnobl (gar.)

Supervisor:

Department of Physics

Synopsis:

Introduction to more advanced topics in quantum mechanics. General formalism of quantum theory, approximate methods and path integral.

Requirements:

02 KVAN Quantum Mechanics

Syllabus of lectures:

1) Addition of angular momenta, tensor operators

2) Various representations of quantum theory

3) Density matrix

4) JWKB approximation

5) Variational method

6) Time-dependent perturbation theory

7) Propagator, Green function

8) Path integral in quantum mechanics

9) Perturbative expansion of path integral, Feynman diagrams

10) Path integral description of scattering

11) Occupation numbers, annihilation and creation operators, Fock space

12) Brief review of quantum field theory

Syllabus of tutorials:

Solution of topical problems in

1) Addition of angular momenta, tensor operators

2) Various representations of quantum theory

3) Density matrix

4) JWKB approximation

5) Variational method

6) Time-dependent perturbation theory

7) Propagator, Green function

8) Path integral in quantum mechanics

9) Perturbative expansion of path integral, Feynman diagrams

10) Path integral description of scattering

11) Occupation numbers, annihilation and creation operators, Fock space

Study Objective:

Knowledge:

Introduction to more advanced topics in quantum mechanics.

Abilities:

Application of general formalism of quantum theory, approximation methods and path integral

Study materials:

Key references:

[1] P.A.M. Dirac, Principles of Quantum Mechanics, Oxford University Press,

Oxford 1958.

Recommended references:

[2] L. D. Faddeev and O. A. Yakubovskii: Lectures on Quantum Mechanics for Mathematics Students (Student Mathematical Library), AMS 2009.

[3] A.Messiah, Quantum Mechanics, Two Volumes Bound as One, (Dover Publications, New York, 1999).

[4] L. H. Ryder, Quantum Field Theory, Cambridge University Press, Cambridge 1996.

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans: