Advanced Topics of Quantum Theory

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Physics

Synopsis:

Requires basic knowledge of functional analysis, operators representing observables, time evolution and Schrödinger operators, quantum waveguides and graphs. Partial overlap with master’s lecture 02PPKT. The sylabus of the lecture can be adjusted based on the request of the students.

Requirements:

Syllabus of lectures:

1. Spectral theory of self-adjoint operators.

2. Operator algebras and sets.

3. Postulates of quantum mechanics.

4. Basic observables of quantum systems.

5. Time evolution, path integrals, open quantum systems.

6. Schrödinger operators.

7. Scattering theory.

8. Quantum waveguides.

9. Quantum graphs.

Syllabus of tutorials:

Study Objective:

Study materials:

1. J. Blank, P.Exner, M. Havlíček: Hilbert Space Operators in Quantum Physics, 2nd edition, Springer 2008

2. P. Exner, H. Kovařík: Quantum Waveguides, Springer 2015

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: