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

Wintersemester 2023/24

Sommersemester 2023

            Archiv ab Sommersemester 2015

            Informationen zum 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

            J. Lampart, M. Moscolari, S. Teufel, T. Wessel
            Equality of magnetisation and edge current for interacting lattice fermions at positive temperature
            Preprint
            [arXiv:2403.17566]

            A. Capel, M. Moscolari, S. Teufel, T. Wessel
            From decay of correlations to locality and stability of the Gibbs state
            Preprint
            [arXiv:2310.09182]

            S. Teufel, R. Tumulka, C. Vogel
            Canonical Typicality For Other Ensembles Than Micro-Canonical
            Preprint
            [arXiv:2307.15624]

            S. Teufel, R. Tumulka, C. Vogel
            Typical Macroscopic Long-Time Behavior for Random Hamiltonians
            Preprint
            [arXiv:2303.13242]

            S. Teufel, R. Tumulka, C. Vogel
            Time evolution of typical pure states from a macroscopic Hilbert subspace
            Journal of Statistical Physics 190: 69 (2023)
            [JSParXiv:2210.10018]

            P. Hege, M. Moscolari, S. Teufel
            Finding spectral gaps in quasicrystals
            Physical Review B 106, 155140 (2022)
            [arXiv:2205.10622, PRB]

            H. Cornean, M. Moscolari, S. Teufel
            General bulk-edge correspondence at positive temperature
            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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