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
Guarantor: doc. Mgr. Jaroslav Zamastil, Ph.D.
Teacher(s): doc. Mgr. Jaroslav Zamastil, Ph.D.
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download palduscc.pdf doc. Mgr. Jaroslav Zamastil, Ph.D.
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Annotation -
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.
Last update: Procházka Marek, prof. RNDr., Ph.D. (14.05.2020)
Course completion requirements -

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

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

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

J. Paldus, Nijmegen Lectures, available at

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

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

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

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