FPF:UF03203 Quantum Mechanics II - Course Information
UF03203 Quantum Mechanics II
Faculty of Philosophy and Science in OpavaWinter 2013
- Extent and Intensity
- 4/2/0. 10 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- RNDr. Josef Juráň, Ph.D. (lecturer)
RNDr. Filip Blaschke, Ph.D. (seminar tutor) - Guaranteed by
- RNDr. Josef Juráň, Ph.D.
Centrum interdisciplinárních studií – Faculty of Philosophy and Science in Opava - Prerequisites (in Czech)
- Znalost základního kurzu kvantové mechaniky na úrovni bakalářského stupně studia.
- 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
- Theoretical Physics (programme FPF, M1701 Fyz)
- Theoretical Physics (programme FPF, N1701 Fyz)
- Course objectives
- The course is a continuation of the course of Quantum Mechanics I. The new course is extended and supplemented. In the beginning approximate methods of quantum mechanics are shown, namely, generalized perturbation theory and variational methods. In the following, the theory of multi-particle systems, quantum scattering theory, interaction of radiation with matter, and relativistic quantum mechanics are discussed. The course is closed by part which sum up a significance of symmetries and conservation laws in quantum mechanics.
- Syllabus
- Mathematical basis of Quantum Mechanics: Axioms of Quantum Mechanics
theory of representations (coordinate, momentum, energy), unitary
transformations, pictures of Quantum Mechanics (Schrödinger, Heisenberg,
Dirac) pure and mixed states, density operator.
Approximated methods of quantum theory: Generalized perturbation theory
variational method.
Angular momentum II: Operator of generalized angular momentum addition of
angular momenta, Clebsch-Gordon coefficients spin-orbit and spin-spin
interactions fine structure of hydrogen.
Multi-particle systems: Wavefunction and its physical meaning spin variables
systems of identical particles exchange operator symmetric and
antisymmetric wavefunctions, Pauli exclusion principle bosons and fermions.
Helium: Calculation of energy levels by perturbative and variational methods
two-electron spin functions excited states orthohelium and parahelium.
Elementary theory of molecules: Adiabatic approximation hydrogen molecule
vibrational, rotational and electron states of two-atom molecules.
Quantum scattering theory: Partial wave analysis Born approximation S-matrix
resonances.
Interaction of quantum system with electromagnetic radiation: Longwave
approximation selection rules for emission and absorption, quantum multipole
expansion.
Relativistic wave equations: Klein-Gordon equation, Dirac equation, continuity
equation, interaction with electromagnetic field, non-relativistic limit,
spin and intrinsic magnetic moment of Dirac particle.
Utilization of groups in Quantum Mechanics: Operation of symmetry symmetries
and conservation laws.
- Mathematical basis of Quantum Mechanics: Axioms of Quantum Mechanics
- Literature
- required literature
- Skála L. Úvod do kvantové mechaniky. Praha, 2005. ISBN 80-200-1316-4. info
- recommended literature
- Klíma J., Šimurda M. Sbírka problémů z kvantové teorie. Praha, 2006. info
- Shankar R. Principles of Quantum Mechanics. New York, 1994. info
- Pišút J., Černý V., Prešnajder P. Zbierka úloh z kvantovej mechaniky. Bratislava/Praha, 1985. info
- Pišút J., Gomolčák L., Černý V. Úvod do kvantovej mechaniky. Bratislava/Praha, 1983. info
- Davydov A.S. Kvantová mechanika. Praha, 1978. info
- not specified
- Formánek J. Úvod do kvantové teorie. Praha, 2004. ISBN 80-200-1176-5. info
- Teaching methods
- One-to-One tutorial
Monological (reading, lecture, briefing)
Internship
Students' self-study - Assessment methods
- Test
Written exam
Credit - Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course can also be completed outside the examination period.
- Teacher's information
- * attendance in lectures and tutorials, active participation
and/or self-study of selected parts of recommended literature (homeworks)
* a few short written tests during semester (success rate 50 %)
* written and oral exam
- Enrolment Statistics (Winter 2013, recent)
- Permalink: https://is.slu.cz/course/fpf/winter2013/UF03203