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

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

Projects
Publications
Papers
  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.
  9. S. Pinton, P. Schlosser,
    Characterization of continuous homomorphisms on entire slice monogenic functions.
  10. P. Schlosser,
    Infinite order differential operators associated with superoscillations in the half-plane barrier.
  11. A. de Martino, S. Pinton, P. Schlosser,
    The harmonic H-functional calculus based on the S-spectrum.
  12. F. Colombo, S. Pinton, P. Schlosser,
    The H-functional calculi for the quaternionic fine structures of Dirac type.
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.