Fachbereich Mathematik

Prof. Dr. Stefan Teufel


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 2021

    Wintersemester 2020/21

        Archiv ab Sommersemester 2015

        Informationen zum neuen Masterstudiengang Mathematical Physics.

        Forschungsinteressen und Projekte / Research Interests and Projekts


          • 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

          H. Cornean, M. Moscolari, S. Teufel
          A new paradigm for bulk-edge correspondence

          J. Henheik, S. Teufel, T. Wessel
          Local stability of ground states in locally gapped and weakly interacting quantum spin systems

          J. Henheik, S. Teufel
          Adiabatic theorem in the thermodynamic limit. Part II: Systems with a gap in the bulk 

          J. Henheik, S. Teufel
          Adiabatic theorem in the thermodynamic limit. Part I: Systems with a uniform gap 

          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

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

          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)

          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)

          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).

          D. Monaco, G. Panati, A. Pisante, S. Teufel
          The localization dichotomy for gapped periodic quantum systems

          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).

          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).

          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

          S. Teufel, R. Tumulka
          New Type of Hamiltonians Without Ultraviolet Divergence for Quantum Field Theories

          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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