Fachbereich Mathematik

Prof. Dr. Stefan Teufel

PortraitHomepage.jpg

Prof. Dr. Stefan Teufel
Universität Tübingen
Fachbereich Mathematik
AB Mathematische Physik
Auf der Morgenstelle 10
72076 Tübingen

Raum: C4 A39
Tel: +49 (0)7071 29 74315
Fax: +49 (0)7071 29 5036
E-Mail: stefan.teufel at uni-tuebingen.de

 

Lehrveranstaltungen / Current Course

    Sommersemester 2022

            Archiv ab Sommersemester 2015

            Informationen zum neuen Masterstudiengang Mathematical Physics.

            Forschungsinteressen und Projekte / Research Interests and Projekts

              Forschungsinteressen

              • Adiabatic perturbation theory and multiscale problems in quantum mechanics
              • Semiclassical- and microlocal analysis
              • Geometric and topological effects in quantum mechanics
              • Exponential asymptotics
              • Rigorous models in quantum field theory and the ultra-violett problem
              • Bohmian mechanics and foundations of quantum mechanics.

              Bücher / Books

              D. Grieser, S. Teufel, A. Vasy (eds.)
              Microlocal methods in mathematical physics and global analysis
              Trends in Mathematics, Birkhaeuser, 2013.
              [ Birkhaeuser Webpage ]

              Microlocal Methods.jpg

              D. Dürr, S. Teufel
              Bohmian Mechanics: The Physics and Mathematics of Quantum Theory
              Springer Verlag, 2009.
              [ A Review of the book by Jean Bricmont. ] [ Springer Webpage]

              Bohmian Mechanics.jpg

              S. Teufel
              Adiabatic perturbation theory in quantum dynamics
              Lecture Notes in Mathematics 1821.
              Springer-Verlag, Berlin, Heidelberg, New York, 2003.
              [ Springer Webpage ]

              Adiabatic Perturbation.jpg

              Wissenschaftliche Veröffentlichungen / Publications

              P. Hege, M. Moscolari, S. Teufel
              Finding spectral gaps in quasicrystals
              Preprint
              [arXiv:2205.10622]

              H. Cornean, M. Moscolari, S. Teufel
              A new paradigm for bulk-edge correspondence
              Preprint
              [arXiv:2106.13780]

              J. Henheik, S. Teufel, T. Wessel
              Local stability of ground states in locally gapped and weakly interacting quantum spin systems
              Letters in Mathematical Physics 112:9 (2022)
              [LMParXiv:2106.13780]

              J. Henheik, S. Teufel
              Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk 
              Forum Mathematics Sigma 10, e4 (2022)
              [FMSarXiv:2012.15239]

              J. Henheik, S. Teufel
              Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap 
              Journal of Mathematical Physics 63, 011901 (2022)
              [JMP, arXiv:2012.15238]

              J. Henheik, S. Teufel
              Justifying Kubo’s formula for gapped systems at zero temperature: A brief review and some new results
              Reviews in Mathematical Physics 33, 2060004 (2021)
              [RMP, arXiv:2002.08669]

              G. Marcelli, G. Panati, S. Teufel
              A new approach to transport coefficients in the quantum spin Hall effect
              Annales Henri Poincare 22, 1069-1111 (2021)
              [AHP, arXiv:2004.00956]

              S. Teufel, R. Tumulka
              Existence of Schrödinger evolution with absorbing boundary condition
              Preprint
              [arXiv:1912.12057]

              S. Teufel
              Non-equilibrium almost-stationary states and linear response for gapped quantum systems
              Communications in Mathematical Physics 373, 621-653 (2020)
              [SpringerarXiv:1708.03581]

              D. Dürr, S. Goldstein, S. Teufel, R. Tumulka, N. Zanghi
              Bohmian trajectories for Hamiltonians with interior-boundary conditions
              Journal of Statistical Physics 180:34-73 (2020)
              [JSParXiv:1809.10235]

              J. Schmidt, S. Teufel, R. Tumulka
              Interior-boundary conditions for many-body Diracoperators and codimension-1 boundaries
              Journal of Physics A: Math. Theor. 52, 295202 (2019)
              [JPA, arXiv:1811.02947]

              E. Matyus, S. Teufel
              Effective non-adiabatic Hamiltonians for the quantum nuclear motion over coupled electronic states
              Journal of Chemical Physics 151, 014113 (2019)
              [JCP, arXiv:1904.00042]

              L. Boßmann, S. Teufel
              Derivation of the 1d Gross-Pitaevskii equation from the 3d quantum many-body dynamics of strongly confined bosons
              Annales Henri Poincare 20, 1003-1049 (2019)
              [AHP, arXiv:1803.11026]

              S. Haag, J. Lampart, S. Teufel
              Quantum waveguides with magnetic fields
              Reviews of Mathematical Physics 31, 1950025 (2019)
              [RMP, arXiv:1710.01518]

              D. Monaco, S. Teufel
              Adiabatic currents for interacting electrons on a lattice
              Reviews of Mathematical Physics 31, 1950009 (2019)
              [RMParXiv:1707.01852]

              J. Lampart, J. Schmidt, S. Teufel, R. Tumulka
              Particle creation at a point source by means of interior boundary conditions
              Mathematical Physics, Analysis and Geometry 21, 12 (2018).
              [arXiv:1703.04476]

              D. Monaco, G. Panati, A. Pisante, S. Teufel
              The localization dichotomy for gapped periodic quantum systems
              [arXiv:1612.09557]

              D. Monaco, G. Panati, A. Pisante, S. Teufel
              Optimal decay of Wannier functions in Chern and quantum Hall insulators
              Communications in Mathematical Physics 359, 61-100 (2018).
              [SpringerarXiv:1612.09552]

              H. Cornean, D. Monaco, S. Teufel
              Wannier functions and Z_2 invariants in time-reversal symmetric topological insulators
              Reviews in Mathematical Physics 29, 1730001 (2017).
              [arXiv:1603.06752]

              J. von Keler, S. Teufel
              The NLS limit for bosons in a quantum waveguide
              Annales Henri Poincare 17, 3321-3360 (2016).
              [Springer, arXiv:1510.03243]

              S. Teufel, R. Tumulka
              Avoiding Ultraviolet Divergence by Means of Interior-Boundary Conditions
              [arXiv:1506.00497]

              S. Teufel, R. Tumulka
              New Type of Hamiltonians Without Ultraviolet Divergence for Quantum Field Theories
              [arXiv:1505.04847]

              S. Haag, J. Lampart, S. Teufel
              Generalised Quantum Waveguides 
              Annales Henri Poincare 16, 2535-2568 (2015). 
              [Springer, arXiv:1402.1067]

              J. Lampart, S. Teufel
              The adiabatic limit of Schrödinger operators on fibre bundles
              Mathematische Annalen 367, 1647-1683 (2017).
              [Springer, arXiv:1402.0382]

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