Institute for Applied Mathematics
Dr. Peter Schlosser
Postal Address Graz University of Technology
Institute for Applied Mathematics
Steyrergasse 30
8010 Graz
Austria
Phone+43 316 873 8628
RoomST 03 262
E-Mailpschlosser@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,
    Operator Theory: Advances and Applications 275 (2019) 49-66.

  2. J. Behrndt, F. Colombo, P. Schlosser,
    Evolution of Aharonov-Berry superoscillations in Dirac delta-potential,
    Quantum Studies: Mathematics and Foundations 6 (2019) 279-293.

  3. Y. Aharonov, J. Behrndt, F. Colombo, P. Schlosser,
    Schrödinger evolution of superoscillations with δ- and δ'-potentials,
    Quantum Studies: Mathematics and Foundations 7 (2020) 293-305.

  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,
    Journal of Differential Equations 277 (2021) 153-190.

  5. Y. Aharonov, J. Behrndt, F. Colombo, P. Schlosser,
    A unified approach to Schrödinger evolution of superoscillations and supershifts,
    Journal of Evolution Equations 22 (2022) Paper No.26.

  6. P. Schlosser,
    Time evolution of superoscillations for the Schrödinger equation in R\{0},
    Quantum Studies: Mathematics and Foundations 9 (2022) 343–366.

  7. J. Behrndt, V. Lotoreichik, P. Schlosser,
    Schrödinger operators with δ-potentials supported on unbounded Lipschitz hypersurfaces,
    Operator Theory: Advances and Applications 291 (2023) 123-150.

  8. J. Behrndt, F. Colombo, P. Schlosser, D.C. Struppa,
    Integral representation of superoscillations via complex Borel measures and their convergence,
    Transactions of the American Mathematical Society 376 (2023) 6315-6340.

  9. S. Pinton, P. Schlosser,
    Characterization of continuous homomorphisms on entire slice monogenic functions,
    Proceedings of the Edinburgh Mathematical Society 67 (2024) 1-29.

  10. A. de Martino, S. Pinton, P. Schlosser,
    The harmonic H∞-functional calculus based on the S-spectrum,
    J. Spectral Theory 14 (2024) 121-162.

  11. F. Colombo, S. Pinton, P. Schlosser,
    The H∞-functional calculi for the quaternionic fine structures of Dirac type,
    Milan Journal of Mathematics 92 (2024) 73-122.

  12. P. Schlosser,
    Infinite order differential operators associated with superoscillations in the half-plane barrier,
    Complex Analysis and Operator Theory 18 (2024) Paper No.110.

  13. F. Colombo, P. Schlosser,
    Interpolation between domains of powers of operators in quaternionic Banach spaces,
    Proceedings of the American Mathematical Society 153 (2025) 625-639.

  14. F. Colombo, F. Mantovani, P. Schlosser,
    Spectral properties of the gradient operator with nonconstant coefficients,
    Analysis and Mathematical Physics 14 (2024) Paper No.108.

  15. J. Behrndt, P. Schlosser,
    On a class of oscillatory integrals and their application to the time dependent Schrödinger equation,
    To appear in: Journal of Mathematial Analysis and Applications.

  16. F. Mantovani, P. Schlosser,
    The H∞-functional calculus for bisectorial Clifford operators,
    Submitted to: Journal of Spectral Theory

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.