MU08100 Foundations of Quantum Mechanics

Mathematical Institute in Opava
Winter 2010
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Guaranteed by
prof. RNDr. Artur Sergyeyev, Ph.D., DSc.
Mathematical Institute in Opava
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
Course objectives (in Czech)
Jsou vysvětleny základní principy kvantové mechaniky z pohledu kanonického kvantování a jsou porovnány s přístupem přes dráhový integrál.
Syllabus
  • Original Stern-Gerlach experiment and the beginnings of quantum mechanics.
    Matrix mechanics: operators, eigenvectors, eigenvalues, basics of group theory and representation theory.
    Angular momentum: the angular momentum operator, the addition of angular momenta, spin.
    Hamiltonian formulation: time evolution operator, uncertainty relations.
    Spin, EPR paradox, Bell's inequalities.
    Schrödinger formulation: wave mechanics, eigenstates of the momentum, wave packets, group velocity, particle in potential well, scattering in one dimension.
    Harmonic oscillator, creation and annihilation operators.
    Multiparticle systems. Bosons and fermions.
    Feynman path integral: formulation and examples.
Literature
    recommended literature
  • J. S. Townsend. A Modern Approach to Quantum Mechanics. University Science Books, 2000. info
  • D. Griffiths. Introduction to Quantum Mechanics. Prentice Hall, 1995. info
  • J. J. Sakurai. Modern Quantum Mechanics. Addison-Wesley, 1994. info
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Teacher's information
Oral exam; further requirements to be specified in the course of the semester.
The course is also listed under the following terms Winter 1999, Winter 2000, Winter 2001, Winter 2002, Winter 2003, Winter 2004, Winter 2005, Winter 2006, Winter 2007, Winter 2008, Winter 2009, Winter 2011.
  • Enrolment Statistics (Winter 2010, recent)
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