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Quantum Theory I - NBCM110

Title:	Kvantová teorie I
Form of teaching:	lecture+practicals
Guaranteed by:	Department of Chemical Physics and Optics (32-KCHFO)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2021
Duration in semesters:	1
Semester:	winter
E-Credits:	9
Hours per week, examination:	winter s.:4/2, C+Ex [HT]
Capacity:	unlimited
Maximum number of enrolled students:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	not taught
Language:	Czech
Teaching methods:	full-time
Repeated enrollment:	2 / 2 / 2 / 2

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

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Annotation -

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.

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

Course completion requirements -

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.

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

Literature -

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

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

Syllabus -

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

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