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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 2014 to 2014
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, NJSF061, NJSF095
Is interchangeable with:	NJSF095

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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)

Syllabus -

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

Many-particle systems. Indistinguishability principle of identical particles and its consequences, fermions and bosons. Second quantization. Fock space. Description of spin in nonrelativistic quantum mechanics.

Basics of theory of addition of angular momentum, Clebsch coefficients.

Approximation methods II: mean field theory. Electronic structure of atom. Configuration interaction, density functional theory.

Symmetry and conservation laws. Rotational and translational symmetry. Time reversal. Point groups.

Basics of theory of chemical bond. Molecular orbitals. Configuration interaction. Molecular vibrations.

Approximation methods III: Time-dependent perturbation theory. Fermi golden rule.

Density matrix and open systems.