Department of Mathematics

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


Lehrveranstaltungen / Current Course

Sommersemester 2023

    Wintersemester 2022/23

            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

              S. Teufel, R. Tumulka, C. Vogel
              Time evolution of typical pure states from a macroscopic Hilbert subspace

              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

              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)

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

              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

              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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