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Field theory methods in the theory of many particles - NBCM155

Title:	Metody teorie pole v teorii mnoha částic
Guaranteed by:	Department of Chemical Physics and Optics (32-KCHFO)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2020
Semester:	winter
E-Credits:	3
Hours per week, examination:	winter s.:2/0, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	doc. Mgr. Jaroslav Zamastil, Ph.D.

Opinion survey results Examination dates WS schedule Noticeboard

Files		Comments	Added by
	palduscc.pdf		doc. Mgr. Jaroslav Zamastil, Ph.D.
	prasfrancine.pdf		doc. Mgr. Jaroslav Zamastil, Ph.D.

Annotation -

Last update: prof. RNDr. Marek Procházka, Ph.D. (14.05.2020)

The lecture provides an introduction to the use of quantum field theory methods in the quantum theory of many particles. Suitable for students who want to gain a deeper knowledge of the calculation of correlation energy in atoms and molecules.

Course completion requirements -

Last update: prof. RNDr. Marek Procházka, Ph.D. (14.05.2020)

Oral exam, exam requirements - in the extent of the syllabus.

Literature -

Last update: prof. RNDr. Marek Procházka, Ph.D. (30.04.2019)

I. Lindgren and J. Morrison, Atomic Many-Body Theory, Springer, 1986.

J. Paldus, Nijmegen Lectures, available at

www.math.uwaterloo.ca/~paldus/resources.html.

Syllabus -

Last update: prof. RNDr. Marek Procházka, Ph.D. (04.02.2019)

1. Formalism of second quantization

Hamiltonian, One- and Two-electron operators

2. Wick theorem

Normal product, Contractions of operators, Generalized Wick theorem,

Vacuum mean values of operator products

3. Hartree-Fock method and its applications to atoms

Shell model, Atomic integrals, Multipole expansion, Angular integrals: Wigner-Eckart theorem,

Radial integrals: recursive relations

4. Particle-hole formalism

Particle-hole operators, Normal product and contractions, Wick theorem,

Normal product form of operators

5. Perturbation method

Diagrammatic representation, Linked cluster theorem

6. Coupled-clusters (CC) method

Diagrammatic representation, Spin-orbital form of CC equations