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Advanced Quantum Theory with Applications in Condensed Matter Physics - NFPL063

Title:	Pokročilá kvantová teorie s aplikacemi ve fyzice kondenzovaných látek
Guaranteed by:	Department of Condensed Matter Physics (32-KFKL)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2019
Semester:	summer
E-Credits:	4
Hours per week, examination:	summer s.:2/1, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	English
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	doc. RNDr. Tomáš Novotný, Ph.D.
Classification:	Physics > Solid State Physics
Is co-requisite for:	NEVF035

Opinion survey results Examination dates SS schedule Noticeboard

Annotation -

Last update: Mgr. Petr Jedelský (20.04.2020)

This lecture is primarily intended for the first grade Ph.D. students of the programmes F3 and F13 and it continues the course NBCM083 Selected Topics on Quantum Theory or other similar courses on more advanced quantum mechanics and statistical physics. This course extends concepts of quantum equilibrium statistical physics to interacting systems, introduces corresponding mathematical formalisms (many-body Green functions, linear response theory, diagrammatic perturbation theory) and demonstrates their usage on generic solid-state examples (Anderson impurity model etc.).

Course completion requirements -

Last update: Mgr. Kateřina Mikšová (13.05.2022)

Conditions for accomplishing this subject are at least 70% presence at the lectures and exercises (single joint 3-hour block) and successful passing the exam.

Literature -

Last update: doc. RNDr. Tomáš Novotný, Ph.D. (17.02.2020)

Henrik Bruus and Karsten Flensberg: Many-Body Quantum Theory in Condensed Matter Physics (An Introduction), Oxford University Press 2004

Requirements to the exam -

Last update: doc. RNDr. Tomáš Novotný, Ph.D. (21.02.2020)

The exam requirements correspond to the syllabus in the extent addressed during the lecture course (usually Chapters 5 to 13 of the book by Bruus and Flenberg).

Syllabus -

Last update: doc. RNDr. Tomáš Novotný, Ph.D. (17.02.2020)

Time dependence in quantum theory, in particular interaction/Dirac picture.

Linear response theory, Kubo formula.

Green functions (real time and imaginary), equation of motion theory, Lehmann representation.

Diagrammatic perturbation theory, Feynman diagrams.

Application to the Anderson impurity model and electron-phonon scattering.