Department Mathematik
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Lecture course: Mathematical quantum mechanics

Tue 14 – 16, Fri 10 – 12 in B 005


Problem solving classes: Dr. Emanuela Giacomelli

Problem sheets and further information

Synopsis
The course introduces the basic elements of mathematical quantum mechanics and the necessary analytical tools. Topics to be covered include: observables as self-adjoint operators, spectral theorem for self-adjoint operators, relation between spectral types and dynamics, elements of scattering theory, many-particle systems.

Prerequisites
Basics of functional analysis and quantum mechanics are helpful.

Audience
Master students.

Literature
  • M. Reed, B. Simon, Methods in modern mathematical physics, vol. I – IV, Academic Press, San Diego
  • G. Teschl, Mathematical methods in quantum mechanics, 2nd ed., Amer. Math. Soc., Providence, RI, 2009
  • W. Thirring, Quantum mathematical physics, Springer, Wien, 2002
  • J. Weidmann, Linear operators in Hilbert spaces, Springer, New York, 1976
    [There exists an updated and largely expanded German edition in two volumes]
  • for a thorough physics background: A. Galindo, P. Pascual, Quantum Mechanics I and II, 2nd ed., Springer, Berlin, 1989