Chaos and Quantum Chaos 2022

TU Dresden | Sommersemester 2022 Chaos and Quantum Chaos 2022

The class is offered in an on-site and an online mode.

On-site mode: lectures and exercises on
                           - Monday 13:00 (4.DS), BZW/A120
                           - Tuesday 11:10 (3.DS), BZW/A120

Online mode: - lecture videos of 2021
                         - exercises (+ questions on lecture) Monday 15:00 starting April 11th on BBB        

Enrollment required for access to class material and upload of homework.

Contents:

Hamiltonian chaos: dynamical systems, KAM-theorem, origin of chaotic dynamics, transport in phase space.
Quantum signatures of chaos: spectra, eigenstates, semiclassics, Gutzwiller trace formula, random matrix theory, experimental systems.
Computer simulations will be used for visualization.
Language: english
Knowledge: mechanics, basic quantum theory (Quantentheorie I), basic programming
Audience: Bachelor, Master (Vertiefung Theoretische Physik), Ph.D., IMPRS-MPSSE
(Bachelor students can use class for Bachelor or Master Vertiefung Theoretische Physik)

Exercises:
Mainly analytical problems on classical and quantum dynamical systems.
Will be presented by students.

Homework:
Mainly numerical problems on classical and quantum dynamical systems.
Requirement for passing the class: 2 (out of 3) classical and 2 (out of 3) quantum problems with individual deadlines during the term.
Will be presented by students.
(Bachelor und Master: entspricht Schriftlicher Problembearbeitung).

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