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Selected Topics on Quantum Field Theory I - NJSF082
Title: Vybrané partie teorie kvantovaných polí I
Guaranteed by: Institute of Particle and Nuclear Physics (32-UCJF)
Faculty: Faculty of Mathematics and Physics
Actual: from 2022
Semester: winter
E-Credits: 4
Hours per week, examination: winter s.:3/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Teaching methods: full-time
Guarantor: RNDr. Jiří Novotný, CSc.
Classification: Physics > Nuclear and Subnuclear Physics
Comes under: Doporučené přednášky 2/2
Is co-requisite for: NJSF083, NJSF123
Annotation -
Last update: T_UCJF (22.05.2001)
The path integral in quantum mechanics. Functional methods and the Green functions. The Wick rotation and the partition sum. The Berezin integral.
Course completion requirements - Czech
Last update: doc. Mgr. Milan Krtička, Ph.D. (10.06.2019)

Složení ústní zkoušky.

Literature -
Last update: T_UCJF (19.03.2015)

J. Novotný, Vybrané partie z teorie kvantovaných polí,

internetová skripta, http://www-ucjf.troja.mff.cuni.cz/lecture_notes_cz.php

R.P. Feynman, A. Hibbs, Quantum mechanics and path integrals (Mc Graw Hill, New York, 1965

F.A. Berezin, The method of second quantization, Academic Press 1966

J. Glimm, A. Jaffe, Quantum physics. A functional point of view, Springer Verlag, New York, 1981

Requirements to the exam - Czech
Last update: doc. Mgr. Milan Krtička, Ph.D. (10.06.2019)

Zkouška bude ústní, požadavky odpovídají odpřednášené části sylabu, ev. doplněné o část zadanou k samostatnému nastudování.

Syllabus -
Last update: T_UCJF (22.05.2003)

1. Path integral in quantum mechanics:

definition of path integral, elementary aplications of path integral, discrete approximation and operator ordering problem, Wiener measure, linear harmonic oscilator, gaussian path integrals, linear harmonic oscilator in external field, generatin functionals and Green functions, connected and one partice irreducible Green functions and effective action, physical meaning of the effective action and adiabatic approximation, Wick rotation and finite temperature quantum theory, methods of evaluation of path integrals, perturbation theory, WKB approximation, fermionic degrees of freedom and Berezin integral, gaussian integrals over anticommuting variables

 
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