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Course, academic year 2023/2024
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Quantum Mechanics II - NTMF067
Title: Kvantová mechanika II
Guaranteed by: Institute of Theoretical Physics (32-UTF)
Faculty: Faculty of Mathematics and Physics
Actual: from 2021
Semester: summer
E-Credits: 9
Hours per week, examination: summer s.:4/2, C+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. RNDr. Martin Čížek, Ph.D.
Co-requisite : NTMF066
Incompatibility : NBCM111, NJSF061, NJSF095, NOFY046
Interchangeability : NJSF095
Is incompatible with: NOFY046, NJSF095
Is interchangeable with: NJSF095
Annotation -
Last update: T_UTF (14.05.2010)
Continuation of the course for students of theoretical physics. Identical particles and many-particle systems. Angular momentum in quantum theory. Mean field and theory of atoms and molecules. Symmetry and conservation laws. Time-dependent perturbation theory. Density matrix and open systems.
Literature - Czech
Last update: T_UTF (14.05.2010)

J. Formánek: Úvod do kvantové teorie (Academia, Praha, 1983, 2004)

Cohen-Tannoudji, Diu, Laloe: Quantum Mechanics (Wiley 2006)

L.D. Landau, E.M. Lifshitz: Quantum Mechanics Non-Relativistic Theory (Butterworth-Heinemann, 1981)

J.J. Sakurai: Modern Quantum Mechanics (Addison-Wesley, Reading, 1985, 1994)

L.E. Ballantine: Quantum Mechanics. A Modern Development (World Scientific, Singapore, 1998)

R.H. Landau: Quantum Mechanics II (Wiley 1996)

Requirements to the exam -
Last update: doc. RNDr. Martin Čížek, Ph.D. (16.10.2017)

Exam constist of written and oral part. To access the exam student must gain enough point from home excercises and test. In the case of excelent results in home excercises and test the written part of exam can be skipped. In oral exam student demonstrates the understanding of theory in two topics selected form the sylabus.

Syllabus -
Last update: doc. RNDr. Martin Čížek, Ph.D. (17.01.2023)

Symmetry and conservation laws. Rotational and translational symmetry. Wigner functions, tenzor operators. Time reversal. Point groups.

Many-particle systems. Indistinguishability principle of identical particles and its consequences, fermions and bosons. Second quantization. Fock space, mean field theory.

Scattering theory. S and T matrixes, scattering cross section. Scattering in the central field, eigephase analysis.

Time-dependent perturbation theory. Fermi golden rule.

Density matrix and open systems.

Learning resources - Czech
Last update: doc. RNDr. Martin Čížek, Ph.D. (17.01.2023)

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