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401-3810-23L 4 Credits BSC , MSC D-MATH

Spectral Theory of Schrödinger Operators

Lecturers & Examiners: Dr. Simon Becker
Number of participants limited to 26.
VVZ CR n/a

Last Updated: 2026-02-05 16:22:16

Abstract

Essentially all differential operators are unbounded operators on Hilbert spaces. We shall cover the basic spectral theory of unbounded operators with a particular emphasis on applications in quantum mechanics. Starting with general functional analytic concepts, we shall discuss the most important classes of operators appearing in quantum mechanics which includes random and ergodic operators.

Resources

Literature

Mathematical Methods in Quantum Mechanics. Gerald Teschl (available on the author's website) Schroedinger operators. Cycon, Froese, Kirsch, Simon Random Operators: Disorder Effects on Quantum Spectra and Dynamics. Aizenman, Warzel.

General Information

Language
English
Levels
BSC , MSC

Examination

Type
ungraded semester performance

Registration & Places

Limited places (Special selection)
Signup Start
02.01.2023
Signup End
17.02.2023
Priority: Registration for the course unit is only possible for the primary target group

Course Components

Type Title Time & Place Hours
seminar Spectral Theory of Schrödinger Operators
  • Thu 10:15-12:00 (HG G 26.3)
2 h weekly

Offered In

  • Mathematics Bachelor
    • Seminars (NOTICE: The number of seminar places is limited, and the special selection procedure should help to allocate the places not primarily according to the registration time. For some seminars everybody is waitlisted first when he/she tries to register for a seminar in myStudies. Moreover: at most 2 mathematics seminars can be chosen per semester.)
  • Mathematics Master
    • Seminars and Semester Papers
      • Seminars (NOTICE: The number of seminar places is limited, and the special selection procedure should help to allocate the places not primarily according to the registration time. For the seminars with pecial selection procedure everybody is waitlisted first when he/she tries to register for a seminar in myStudies. Moreover: At most 2 mathematics seminars can be chosen per semester. In case you need to attend 3 seminars in this semester, please take contact with the Study Administration (email: ).)