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Quantum Theory I - NBCM110

Title:	Kvantová teorie I
Guaranteed by:	Department of Chemical Physics and Optics (32-KCHFO)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2021
Semester:	winter
E-Credits:	9
Hours per week, examination:	winter s.:4/2, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	not taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	doc. Mgr. Jaroslav Zamastil, Ph.D. doc. RNDr. Tomáš Novotný, Ph.D.
Classification:	Physics > Biophysics and Chemical Physics
Incompatibility :	NFPL010, NJSF060, NJSF094, NOFY042, NOFY045, NOFY075, NTMF066
Interchangeability :	NOFY075
Is incompatible with:	NFPL010, NOFY045, NJSF094, NOFY075, NTMF066
Is interchangeable with:	NOFY075

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Last update: RNDr. Vojtěch Kapsa, CSc. (25.04.2018)

This course is a continuation of the course NOFY027 Introduction to Quantum Mechanics. Formal scheme of quantum theory. Angular momentum. Approximate methods - variational and perturbation method. Structure of atomic spectral lines. Many-body problem. Basics of quantum electrodynamics (non- relativistic theory). Basics of scattering theory.

Course completion requirements -

Last update: RNDr. Vojtěch Kapsa, CSc. (25.04.2018)

The student must obtain credit before entering exam.

The condition for obtaining credits are clarified on the first seminar.

The exam has written and oral parts.

Literature -

Last update: doc. RNDr. Tomáš Novotný, Ph.D. (15.10.2019)

Jaroslav Zamastil and Jakub Benda, Quantum Mechanics and Electrodynamics (Springer 2016)

Syllabus -

Last update: RNDr. Vojtěch Kapsa, CSc. (25.04.2018)

0. Formal scheme of quantum theory
Dirac notation; theory of representations; summary of basics of quantum mechanics; pure and mixed states; density matrix

1. Angular momentum
Spin - Stern-Gerlach experiments; Larmor precession; Rabi oscilations; general solution of angular momentum, composition of angular momentum, complete symmetry of hydrogen

2. Approximate methods - variational and perturbation method
Anharmonic oscilator; coupled oscilators; hydrogen in static electric and magnetic fields

3. Structure of atomic spectral lines
Gross, fine and hyperfine structure of atomic levels; inclusion of relativistic and magnetic effects - Dirac and Pauli equations

4. Many-body problem
Antisymmetry of wave function and exchange interaction; formalism of second quantization; Hartree-Fock approximation; shell model of atoms; Born-Oppenheimer approximation; hydrogen molecule

5. Basics of quantum electrodynamics (non-relativistic theory)
Hamiltonian of charged particles and electromagnetic (EM) field; quantization of EM field; Time-dependent perturbation method and Fermi Golden Rule, spontaneous emission, selection rules

6. Basics of scattering theory
Formulation of the problem - Green function; Lippmann-Schwinger equation Elastic scattering - method of partial waves; phase analysis; low-energy limit: scattering length and effective range Inelastic scattering in Born approximation - photoeffect; atom excitation by electron, photon-atom scattering