FU:FYBAF0004 Introduction to Quantum Mechan - Course Information
FYBAF0004 Introduction to Quantum Mechanics
Institute of physics in Opavawinter 2022
- Extent and Intensity
- 4/2/0. 8 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- RNDr. Josef Juráň, Ph.D. (lecturer)
Mgr. Lukáš Rafaj (seminar tutor) - Guaranteed by
- RNDr. Josef Juráň, Ph.D.
Institute of physics in Opava - Timetable
- Mon 11:45–13:20 309, Thu 12:15–13:50 309
- Timetable of Seminar Groups:
- Prerequisites (in Czech)
- (FAKULTA(FU) && TYP_STUDIA(B))
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Astrophysics (programme FU, FYZB)
- Course objectives
- After historical overview the basic concept of quantum theory is introduced. Mathematical apparatus is established and axioms of quantum mechanics are set. Schrödinger equation is solved for basic physical problems including hydrogen atom.
- Learning outcomes
- Upon successful graduation from the subject, a student will understand concept of quantum theory; will be able to formulate and solve elementary problems in quantum mechanics; to calculate and analyze energy spectrum of hydrogen atom.
- Syllabus
- History of quantum physics. Young experiment, black-body radiation, Thomson model, photoelectric effect, Rutherford experiment, Bohr model, Franck-Hertz experiment, Compton scattering, de Broglie wave.
- Basic concept and principles of quantum physics. Wave function and its probabilistic interpretation, superposition principle. Hilbert space. Expectation value of position and momentum of particle, momentum operator.
- Mathematical operator theory. Eigenfunctions and their eigenvalues. Types of spectra. Commutators. Hermitian operators. Operators of basic physical quantities.
- Measurement, wave function collapse.
- Uncertainty principle, Heisenberg's uncertainty principle.
- Time evolution of wave function. Schrödinger equation. Stationary state. Time-dependence of expectation values of physical quantities. Ehrenfest theorem.
- Continuity equation in quantum mechanics, probability current.
- Solution of Schrödinger equation. Free particle, potential well and three-dimensional box, linear harmonic oscillator, potential barrier, quantum tunnelling.
- Angular momentum operator, its eigenvalues and eigenfunctions.
- Motion in central potential field. Hydrogen atom and its spectrum. Hydrogen atom in magnetic field, normal Zeeman effect.
- Spin. Stern-Gerlach experiment, spin operator, spinors.
- Interpretation of quantum mechanics.
- Literature
- required literature
- Skála L. Úvod do kvantové mechaniky. Praha, 2005. ISBN 80-200-1316-4. info
- recommended literature
- J. Pišút, L. Gomolčák, V. Černý. Úvod do kvantovej mechaniky. Bratislava/Praha, ALFA/SNTL, 1983.
- J. Pišút, V. Černý, P. Prešnajder. Zbierka úloh z kvantovej mechaniky. Bratislava/Praha, ALFA/SNTL, 1985.
- Klíma J., Šimurda M. Sbírka problémů z kvantové teorie. Academia, 2006.
- not specified
- Griffiths D. J., Schroeter D. F. Introduction to Quantum Mechanics. Cambridge, 2018.
- Weinberg S. Lectures on Quantum Mechanics. Cambridge, 2015
- Teaching methods
- Monological (lecture, briefing)
Tutorial
Students' self-study
One-to-One tutorial - Assessment methods
- homework
random test
written test
oral and written exam - Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught annually.
- Enrolment Statistics (winter 2022, recent)
- Permalink: https://is.slu.cz/course/fu/winter2022/FYBAF0004