ETFNSP0002 Quantum Mechanics

Institute of physics in Opava
winter 2023
Extent and Intensity
4/2/0. 8 credit(s). Type of Completion: zk (examination).
Teacher(s)
RNDr. Josef Juráň, Ph.D. (lecturer)
prof. Ing. Peter Lichard, DrSc. (lecturer)
RNDr. Josef Juráň, Ph.D. (seminar tutor)
Guaranteed by
prof. Ing. Peter Lichard, DrSc.
Institute of physics in Opava
Prerequisites
(FAKULTA(FU)&&SOUHLAS)
Knowledge of the basic course of Quantum mechanics.
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
To achieve advanced skills in quantum description of simple physical systems.
Learning outcomes
Upon successful graduation from the subject, a student will be able to formulate and solve advanced problems in quantum mechanics, mainly for hydrogen atom; to use approximate mathematical method to solve physical problems.
Syllabus
  • Main topics:
    • Axioms and mathematical basis of Quantum mechanics. Hilbert space, state vector, Dirac notation. Theory of representations, pictures of Quantum Mechanics.
    • Approximated methods of quantum theory: Generalized perturbation theory, variational method and their applications. Stark effect. Theory of quantum transitions, non-stationary perturbative method.
    • Theory of Angular momentum: commutation relations, eigenvalues. Adding of two angular momenta. Fine structure, Zeeman effect.
    • Multi-particle systems: system of identical particles, exchange operator, symmetric and antisymmetric wavefunctions, Pauli exclusion principle, bosons and fermions.
    • Helium: Calculation of energy of ground state. Excited states, orthohelium and parahelium. Hund`s rule.
    • Atoms with more electrons. Hartree-Fock method. The periodic table of elements.
    • Elementary theory of molecules: Adiabatic approximation, hydrogen molecule. Covalent bond. Electron structure of atoms and valence relation.
    • Interaction of quantum system with electromagnetic radiation: longwave approximation, Fermi Golden Rule. Selection rules. Polarizability of quantum system.
    • Dispersion of light. Einstein coefficients and proof of existence of stimulated emission.
    • Potential scattering: Born approximation, Partial wave analysis, S-matrix, optical theorem, resonances.
Literature
    required literature
  • Skála L. Úvod do kvantové mechaniky. Praha, 2005. ISBN 80-200-1316-4. info
    recommended literature
  • Pišút J., Gomolčák L., Černý V. Úvod do kvantovej mechaniky. Bratislava/Praha, 1983. info
  • Pišút J., Černý V., Prešnajder P. Zbierka úloh z kvantovej mechaniky. ALFA/SNTL, Bratislava/Praha, 1985. info
  • Formánek J. Úvod do kvantové teorie. Praha, 2004. ISBN 80-200-1176-5. info
  • Klíma J., Šimurda M. Sbírka problémů z kvantové teorie. Praha, 2006. info
  • Davydov A.S. Kvantová mechanika. Praha, 1978. info
    not specified
  • Blochincev D. I., Základy kvantové mechaniky, NČSAV, Praha 1956
  • D. Griffiths. Introduction to Quantum Mechanics. Prentice Hall, 1995. info
  • Shankar R. Principles of Quantum Mechanics. New York, 1994. info
  • Weinberg S. Lectures on Quantum Mechanics. Cambridge, 2015. ISBN 978-1-107-11166-0. info
Teaching methods
Monological (reading, lecture, briefing)
Students' self-study
One-to-One tutorial
Assessment methods
homework
written test
oral and written exam
Language of instruction
English
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Information on course enrolment limitations: Erasmus
Teacher's information
Attendance in lectures and tutorials is required.
Absence can be compensated by self-study of selected parts of recommended literature and/or additional homework.
The course is also listed under the following terms winter 2024.
  • Enrolment Statistics (winter 2023, recent)
  • Permalink: https://is.slu.cz/course/fu/winter2023/ETFNSP0002