Institute for Applied Mathematics
Dr. Peter Schlosser
Postal Address Graz University of Technology
Institute for Applied Mathematics
Steyrergasse 30
8010 Graz
Phone+43-(0)316-873 8628
RoomST 03 262
Electronic Mail
Office hour by arrangement

Teaching Winter Term 2020/21

Topics of Interest
  • Schrödinger operators with δ-interactions
  • Lieb-Thirring inequalties for classical and δ-potentials
  • Sobolev spaces on unbounded domains
  • Extension theory of symmetric operators, Boundary triple methods
  • Superoscillations and its application as initial values of the time dependent Schrödinger equation
  • S-spectrum and functional analysis on Clifford algebras
  • Holomorphic functional calculus

  1. J. Behrndt, P. Schlosser,
    Quasi boundary triples, self-adjoint extensions, and Robin Laplacians on the half-space.
  2. J. Behrndt, F. Colombo, P. Schlosser,
    Evolution of Aharonov-Berry superoscillations in Dirac delta-potential.
  3. Y. Aharonov, J. Behrndt, F. Colombo, P. Schlosser,
    Schrödinger evolution of superoscillations with δ- and δ'-potentials.
  4. Y. Aharonov, J. Behrndt, F. Colombo, P. Schlosser,
    Green's function for the Schrödinger equation with a generalized point interaction and stability of superoscillations.
  5. Y. Aharonov, J. Behrndt, F. Colombo, P. Schlosser,
    A unified approach to Schrödinger evolution of superoscillations and supershifts.
  6. J. Behrndt, V. Lotoreichik, P. Schlosser,
    Schrödinger operators with δ-potentials supported on unbounded Lipschitz hypersurfaces.
  7. P. Schlosser,
    Time evolution of superoscillations for the Schrödinger equation in R\{0}.
  8. J. Behrndt, F. Colombo, P. Schlosser, D.C. Struppa,
    Integral representation of superoscillations via complex Borel measures and their convergence.
Master Thesis
  1. P. Schlosser,
    A Lieb-Thirring type inequality for δ-potentials supported on hyperplanes,
    Master Thesis (Mathematics), TU Graz, 2018.
  2. P. Schlosser,
    Sign problem in the Hubbard model using Hubbard-Stratonovich transformations and application to the Hubbard-Holstein model,
    Master Thesis (Technische Physik), TU Graz, 2016.