Institute of Applied Mathematics

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
Room	ST 03 262
Electronic Mail	pschlosser@math.tugraz.at
Office hour	by arrangement

Teaching Winter Term 2020/21
Lineare Algebra UE (für Physiker) Funktionalanalysis und partielle Differenzialgleichungen UE (für Physiker)

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
OEAD Scientific Cooperation Austria - Czech Republic Dirac and magnetic Schrödinger operators with singular interactions Workshop: Schrödinger Operators and Boundary Value Problems (April 24 - 28, 2017) FWF project P33568: Approximation problems for Dirac and Schrödinger operators Schrödinger Stipendium of the Austrian Science Fund (FWF) under Grant No. J 4685-N and by the European Union - NextGenerationEU.
Publications

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