Publications

2019

Boßmann L.,Teufel S.: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)
Ceruti G., Lubich Chr.:, Time integration of symmetric and anti-symmetric low-rank matrices and Tucker tensors, arXiv:1906.01369
Chirilus-Bruckner M., Maier D., Schneider G.: Diffusive stability for periodic metric graphs. Mathematische Nachrichten 292(6), 2019, 1246-1259.
Griesemer, M.; Linden, U.: Spectral theory of the Fermi polaron. Ann. Henri Poincaré 20 (2019), no. 6, 1931–1967
Haag S. , Lampart J. ,Teufel S.:Quantum waveguides with magnetic fields, Reviews of Mathematical Physics 31, 1950025 (2019)
Matyus E., Teufel S.: Effective non-adiabatic Hamiltonians for the quantum nuclear motion over coupled electronic states, Journal of Chemical Physics 151, 014113 (2019)
Maier D.: Construction of breather solutions for nonlinear Klein-Gordon equations on periodic metric graphs. Journal of Differential Equations, Available online 30 September 2019
Monaco D. , Teufel S.: Adiabatic currents for interacting fermions on a lattice, Reviews of Mathematical Physics 31, 1950009 (2019)
Schmidt J., Teufel S., Tumulka R.: Interior-boundary conditions for many-body Diracoperators and codimension-1 boundaries, Journal of Physics A: Math. Theor. 52, 295202 (2019)
Teufel S.; Non-equilibrium almost-stationary states and linear response for gapped quantum systems,
Communications in Mathematical Physics, Online First, 33p (2019)

2018

Griesemer, Marcel; Linden, Ulrich.: Stability of the two-dimensional Fermi polaron. Lett. Math. Phys. 108 (2018), no. 8, 1837–1849.
Griesemer, M.; Wünsch, A.: On the domain of the Nelson Hamiltonian. J. Math. Phys. 59 (2018), no. 4, 042111, 21 pp.
Lampart J.,Schmidt J., Teufel S., Tumulka R.: Particle creation at a point source by means of interior boundary conditions, Mathematical Physics, Analysis, and Geometry 21, 12 (2018)
Lubich Chr., Vandereycken B., Walach H.: Time integration of rank-constrained Tucker tensors, SIAM J. Numer. Anal. 56 (2018), 1273-1290
Monaco D. ,Panati G. Pisante A. ,Teufel S.: Optimal decay of Wannier functions in Chern and quantum Hall insulators, Communications in Mathematical Physics 359, 61–100 (2018).

2017

Cornean H.D., Monaco D., Teufel S.: Wannier functions and Z_2 invariants in time-reversal symmetric topological insulators, Reviews in Mathematical Physics 29, 1730001 (2017) 1730001 (66 pages), DOI: 10.1142/S0129055X17300011
Griesemer M., Schmid J., Schneider G.: On the dynamics of the mean-field polaron in the high-frequency limit. Letters in Mathematical Physics 107:1809--1821, 2017.
Griesemer, M.; Schmid, J.; : Well-posedness of non-autonomous linear evolution equations in uniformly convex spaces. Math. Nachr. 290 (2017), no. 2-3, 435–441.
Kloss B., Burghardt I., Lubich Chr,; Implementation of a novel projector-splitting integrator for the multi-configurational time-dependent Hartree approach, J. Chem. Phys. 146 (2017), 174107
Kovarik H. , Ruszkowski B., Weidl T. : 'Spectral estimates for the Heisenberg Laplacian on cylinders''. in Functional Analysis and Operator Theory for Quantum Physics, EMS Series of Congress Reports, J. Dittrich, et al. (eds.), 433-446, 2017
Lampart J., Teufel S.: The adiabatic limit of Schrödinger operators on fibre bundles, Mathematische Annalen 367, 1647-1683 (2017).
Pelinovsky D., Schneider G.: Bifurcations of standing localized waves on periodic graphs. Ann. Henri Poincar\'e 18: 1185--1211, 2017.

2016

Bach V.; Ballesteros, M.; Könenberg, M.; Menrath L.: Existence of Ground State Eigenvalues for the Spin-Boson Model with Critical Infrared Divergence and Multiscale Analysis. arxiv.org/pdf/1605.08348v1
Brumm, B., Kieri E.: A matrix-free Legendre spectral method for initial boundary value problems, ETNA 45 (2016), 283-304
Cornean H. .D.; Monaco D.; Teufel S.: Wannier functions and Z_2 invariants in time-reversal symmetric topological insulators. arXiv:1603.06752 (2016)
Freund S., Teufel S. : Peierls substitution for magnetic Bloch bands, Analysis & PDE 9, 773-811 (2016)
Gilg S., Pelinovsky D.,Schneider G.: Validity of the NLS approximation for periodic quantum graphs, NoDEA Nonlinear Differential Equations Appl. 23 (2016), no. 6, Art. 63, 30 pp.
Griesemer, M.; Wünsch, A.: Self-adjointness and domain of the Fröhlich Hamiltonian. J. Math. Phys. 57 (2016), no. 2, 021902, 15 pp
Haegeman J., Lubich Chr., Oseledets I., Vandereycken B., Verstraete F.: Unifying time evolution and optimization with matrix product states, Phys. Rev. B 94 (2016), 165116
Hainzl Chr., Seyrich J:, Comparing the full time-dependent Bogoliubov–de-Gennes equations to their linear approximation: A numerical investigation, Eur. Phys. J. B 89, 1-10 (2016).
Kieri E., Lubich Chr., Walach H.: Discretized dynamical low-rank approximation in the presence of small singular values, SIAM J. Numer. Anal. 54 (2016), 1020-1038.
Merkli, M.; Berman, G. P.; Sayre, R. T.; Gnanakaran, S.; Könenberg, M.; Nesterov, A. I.; Song, H.;
Dynamics of a chlorophyll dimer in collective and local thermal environments. J. Math. Chem. 54 (2016), no. 4 , 866–9 17.
Könenberg M. , Merkli M.: On the irreversible dynamics emerging from quantum resonances. J. Math. Phys. 57, 033302 (2016)
Monaco D., Tauber C.; Gauge-theoretic invariants for topological insulators: A bridge between Berry, Wess-Zumino, and Fu-Kane-Mele.arxiv.org/abs/1611.05691 (2016)
J. von Keler, S. Teufel: The NLS limit for bosons in a quantum waveguide, Annales Henri Poincare 17, 3321-3360 (2016)

2015

Bräunlich, G., Hainzl C., Seiringer R.: On the BCS gap equation for superfluid fermionic gases. Mathematical results in quantum mechanics, 127–137, World Sci. Publ., Hackensack, NJ, 2015. 81Q10 (76A25)
Brumm, B.: A fast matrix-free algorithm for spectral approximations to the Schrödinger equation. SIAM J. Sci. Comput., 37:A2003–A2025, 2015
Haag, S., Lampart, J., Teufel S.: Generalised Quantum Waveguides. Annales Henri Poincare 16, 2535-2568 (2015)
Lubich Chr.: Time integration in the multiconfiguration time-dependent Hartree method of molecular quantum dynamics, Appl. Math. Res. Express 2015, 311-328.
Lubich Chr., Oseledets I., Vandereycken B.: Time integration of tensor trains, SIAM J. Numer. Anal. 53 (2015), 917-941.
Monaco, D.; Panati,G.; Pisante, A.; Teufel, S.: The Localization Dichotomy for gapped periodic quantum systems. Submitted to Physical Review Letters (Preprint at arXiv:1612.09557)
Ruszkowski, B.:Hardy Inequalities for the Heisenberg Laplacian on convex bounded polytopes, arxiv.org/abs/1606.04252v1

2014

Anapolitanos, I.: Remainder estimates for the Long Range Behavior of van der Waals force. arXiv:1308.4808
Chirilus-Bruckner, M., Düll, W.-P., Schneider, G.: Validity of the KdV equation for the modulation of periodic traveling waves in the NLS equation. J. Math. Anal. Appl., 414(1): 166-175, 2014.
Esteban, M.: Functional Inequalities and Symmetry Properties of Extremal Functions IZKT Materialien No.15, ISBN 978-3-9814665-5-3
Faou, E.; Gauckler, L.; Lubich, Chr.: Plane wave stability of the split-step Fourier method for the nonlinear Schrödinger equation, Forum Math. Sigma 2, Article ID e5, 45 p. (2014).
Frank R. L., Hainzl Chr., Seiringer R., Solovej J.P.: The external field dependence of the BCS critical temperature, arXiv:1410.2352
Gaim, W., Lasser, C.: Corrections to Wigner type phase space methods, Nonlinearity 27 (2014), 2951-2974
doi:10.1088/0951-7715/27/12/2951
Gat O., Lein M., Teufel S.: Semiclassics for particles with spin via a Wigner-Weyl-type calculus. Annales Henri Poincare Online First (2014).
Griesemer M., Schmid J,: Kato's Theorem on the Integration of Non-Autonomous Linear Evolution Equations. Math. Phys. Anal. Geom. 17 (2014), no. 3-4, 17:9154.
Hairer, E.; Lubich, Chr.: Energy-diminishing integration of gradient systems, IMA J. Numer. Anal. 34 (2014), 452-461.
Kovarik H., Weidl T.: Improved Berezin-Li-Yau inequalities with magnetic fields. to appear in The Royal Society of Edinburgh Proceedings A (2014).
Lubich Chr.: Low-rank dynamics. Preprint, Januar 2014.
Lubich, Chr.; Oseledets,I.: A projector-splitting integrator for dynamical low-rank approximation, BIT 54 (2014),171-188 (2014)
Schmid, J: Well-posedness of non-autonomous linear evolution equations for generators whose commutators are scalar, Evol. Equ.(2015), DOI 10.1007/s00028-015-0291-5

2013

Chen T., Hainzl Chr., Pavlovic N., Seiringer R.: On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti, Lett. Math. Phys. 104 (2014), no. 7, 871–891. (Reviewer: Tohru Ozawa) 35Q55 (35B30 35P25 81V70)
Chong Ch., Schneider, G.: Numerical evidence for the validity of the NLS approximation in systems with a quasilinear quadratic nonlinearity. ZAMM 93: 688-696, 2013.
Faou E., Gauckler L., Lubich Chr.: Sobolev stability of plane wave solutions to the cubic nonlinear Schrödinger equation on a torus. Comm. Partial Differential Equations 38 (2013), 1123-1140.
Lubich Chr., Rohwedder T., Schneider R., Vandereycken B.: Dynamical approximation by hierarchical Tucker and
tensor-train tensors. SIAM J. Matrix Anal. Appl. 34 (2013), 470-494.
Pelinovsky, D., Schneider, G.: Rigorous justification of the short-pulse equation. Nonlinear Differential Equations and Applications NoDEA 20: 1277-1294, 2013.
Schmid, J.:Adiabatic theorems with and without spectral gap condition for non-semisimple spectral values,
arXiv:1401.0089 (2013)
Schneider, G., Zimmermann, D.: Justification of the Ginzburg-Landau approximation for an instability as it appears for Marangoni convection. Mathematical Methods in the Applied Sciences 36(9): 1003-1013, 2013.
Schulz-Baldes H., Teufel S.: Orbital polarization and magnetization for independent particles in disordered media. Commun. Math. Phys. 319 (2013), 649–681.
Stiepan H., Teufel S.: Semiclassical approximations for Hamiltonians with operator-valued symbols. Commun. Math. Phys. 320 (2013), 821-849
Wachsmuth J., Teufel S.: Effective Hamiltonians for constraint quantum systems. Memoirs of the AMS 1083 (2013)