Kontakt
+49 711 685 65534
+4971168565594
E-Mail
Website
Visitenkarte (VCF)
Pfaffenwaldring 57
70569 Stuttgart
Deutschland
Raum: 8.347
Sprechstunde
nach Vereinbarung
Fachgebiet
Der Schwerpunkt meiner Forschung liegt in der Spektralanalyse von Differential- und Integraloperatoren mit Anwendungen in der Quantenmechanik.
- Frank, Rupert L.; Laptev, Ari; Weidl, Timo (2021): Lieb-Thirring Inequalities,.
- Kovar\’ık, Hynek; Ruszkowski, Bartosch; Weidl, Timo (2018): Melas-type bounds for the Heisenberg Laplacian on bounded domains, in: Journal of Spectral Theory, European Mathematical Society Publishing House (Journal of Spectral Theory), Jg. 8, Nr. 2, S. 413--434, doi: 10.4171/jst/200.
- Kovarik, Hynek; Ruszkowski, Bartosch; Weidl, Timo (2017): 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.), (Functional Analysis and Operator Theory for Quantum Physics, EMS Series of Congress Reports, J. Dittrich, et al. (eds.)), S. 433–446.
- Hänel, André; Weidl, Timo (2017): Spectral asymptotics for the Dirichlet Laplacian with a Neumann window via a Birman-Schwinger analysis of the Dirichlet-to-Neumann operator., in: Functional Analysis and Operator Theory for Quantum Physics, EMS Series of Congress Reports, J. Dittrich, et al. (eds.), (Functional Analysis and Operator Theory for Quantum Physics, EMS Series of Congress Reports, J. Dittrich, et al. (eds.)), S. 315–352.
- Barseghyan, Diana; Exner, Pavel; Kovarik, Hynek; u. a. (2016): Semiclassical bounds in magnetic bottles, in: Reviews in Mathematical Physics, World Scientific (Reviews in Mathematical Physics), Jg. 28, Nr. 1, S. 1650002, doi: 10.1142/S0129055X16500021.
- Hänel, André; Weidl, Timo (2016): Eigenvalue asymptotics for an elastic strip and an elastic plate with a crack., in: Quarterly journal of mechanics and applied mathematics, Oxford Univ. Press (Quarterly journal of mechanics and applied mathematics), Jg. 69, Nr. 4, S. 319–352, doi: 10.1093/qjmam/hbw009.
- Kovarik, Hynek; Weidl, Timo (2015): Improved Berezin-Li-Yau inequalities with magnetic field., Proceedings of the Royal Society Of Edinburgh. Section A, Mathematics, Cambridge Univ. Press (Proceedings of the Royal Society Of Edinburgh. Section A, Mathematics), doi: 10.1017/S0308210513001595.
- Kovarik, Hynek; Weidl, Timo (2015): Improved Berezin-Li-Yau inequalities with magnetic field., Proceedings of the Royal Society Of Edinburgh. Section A, Mathematics, Cambridge Univ. Press (Proceedings of the Royal Society Of Edinburgh. Section A, Mathematics), doi: 10.1017/S0308210513001595.
- Förster, Clemens; Weidl, Timo (2012): Trapped modes in an elastic plate with a hole., in: St. Petersburg Mathematical Journal, (St. Petersburg Mathematical Journal), Jg. 23, Nr. 1, S. 179–202.
- Geisinger, Leander; Laptev, Ari; Weidl, Timo (2011): Geometrical versions of improved Berezin-Li-Yau inequalities., in: Journal of Spectral Theory 1., (Journal of Spectral Theory 1.), Nr. 1, S. 87–109.
- Weidl, Timo; World Scientific Publishing (Hrsg.) (2011): Semiclassical Spectral Bounds and Beyond., in: Mathematical results in quantum physics, (Mathematical results in quantum physics), S. 110–129, doi: 10.1142/9789814350365_0009.
- Geisinger, Leander; Weidl, Timo (2011): Sharp spectral estimates in domains of infinite volume., in: Reviews in Mathematical Physics., (Reviews in Mathematical Physics.), Jg. 23, Nr. 6, S. 615–641, doi: 10.1142/S0129055X11004394.
- Förster, Clemens; Weidl, Timo (2011): Trapped modes in an elastic plate with a hole., in: Rossiĭskaya Akademiya Nauk. Algebra i Analiz, (Rossiĭskaya Akademiya Nauk. Algebra i Analiz), Jg. 23, Nr. 1, S. 255–288.
- Geisinger, Leander; Weidl, Timo (2010): Universal bounds for traces of the Dirichlet Laplace operator., in: Journal of the London Mathematical Society. Second Series, (Journal of the London Mathematical Society. Second Series), Jg. 82, Nr. 2, S. 395–419, doi: https://doi.org/10.1112/jlms/jdq033.
- Frank, Rupert L.; Loss, Michael; Weidl, Timo (2009): Pólya’s conjecture in the presence of a constant magnetic field, in: J. Eur. Math. Soc. (JEMS), (J. Eur. Math. Soc. (JEMS)), Jg. 11, Nr. 6, S. 1365--1383, doi: 10.4171/JEMS/184.
- Kovar\’ık, Hynek; Vugalter, Semjon; Weidl, Timo (2009): Two-dimensional Berezin-Li-Yau inequalities with a correction term, in: Comm. Math. Phys., (Comm. Math. Phys.), Jg. 287, Nr. 3, S. 959--981, doi: 10.1007/s00220-008-0692-1.
- Weidl, Timo (2008): Improved Berezin-Li-Yau inequalities with a remainder term, in: Spectral theory of differential operators, Amer. Math. Soc., Providence, RI (Spectral theory of differential operators), S. 253--263, doi: 10.1090/trans2/225/17.
- Frank, Rupert L.; Simon, Barry; Weidl, Timo (2008): Eigenvalue bounds for perturbations of Schrödinger operators and Jacobi matrices with regular ground states, in: Comm. Math. Phys., (Comm. Math. Phys.), Jg. 282, Nr. 1, S. 199--208, doi: 10.1007/s00220-008-0453-1.
- Weidl, Timo (2007): Nonstandard Cwikel type estimates, in: Interpolation theory and applications, Amer. Math. Soc., Providence, RI (Interpolation theory and applications), S. 337--357, doi: 10.1090/conm/445/08611.
- Kovar\’ık, Hynek; Vugalter, Semjon; Weidl, Timo (2007): Spectral estimates for two-dimensional Schrödinger operators with application to quantum layers, in: Comm. Math. Phys., (Comm. Math. Phys.), Jg. 275, Nr. 3, S. 827--838, doi: 10.1007/s00220-007-0318-z.
- Förster, C.; Weidl, T. (2006): Trapped modes for an elastic strip with perturbation of the material properties, in: Quart. J. Mech. Appl. Math., (Quart. J. Mech. Appl. Math.), Jg. 59, Nr. 3, S. 399--418, doi: 10.1093/qjmam/hbl008.
- Exner, Pavel; Linde, Helmut; Weidl, Timo (2004): Lieb-Thirring inequalities for geometrically induced bound states, in: Lett. Math. Phys., (Lett. Math. Phys.), Jg. 70, Nr. 1, S. 83--95, doi: 10.1007/s11005-004-1741-0.
- Vugalter, Semjon; Weidl, Timo (2003): On the discrete spectrum of a pseudo-relativistic two-body pair operator, in: Ann. Henri Poincaré, (Ann. Henri Poincaré), Jg. 4, Nr. 2, S. 301--341, doi: 10.1007/s00023-003-0131-y.
- Laptev, Ari; Safronov, Oleg; Weidl, Timo (2002): Bound state asymptotics for elliptic operators with strongly degenerated symbols, in: Nonlinear problems in mathematical physics and related topics, I, Kluwer/Plenum, New York (Nonlinear problems in mathematical physics and related topics, I), S. 233--246, doi: 10.1007/978-1-4615-0777-2\_14.
- Exner, Pavel; Weidl, Timo (2001): Lieb-Thirring inequalities on trapped modes in quantum wires, in: XIIIth International Congress on Mathematical Physics (London, 2000), Int. Press, Boston, MA (XIIIth International Congress on Mathematical Physics (London, 2000)), S. 437--443.
- Laptev, Ari; Weidl, Timo (2000): Recent results on Lieb-Thirring inequalities, in: Journées ``Équations aux Dérivées Partielles’’ (La Chapelle sur Erdre, 2000), Univ. Nantes, Nantes (Journées ``Équations aux Dérivées Partielles’’ (La Chapelle sur Erdre, 2000)), S. Exp. No. XX, 14.
- Hundertmark, D.; Laptev, A.; Weidl, T. (2000): New bounds on the Lieb-Thirring constants, in: Invent. Math., (Invent. Math.), Jg. 140, Nr. 3, S. 693--704, doi: 10.1007/s002220000077.
- Laptev, Ari; Weidl, Timo (2000): Sharp Lieb-Thirring inequalities in high dimensions, in: Acta Math., (Acta Math.), Jg. 184, Nr. 1, S. 87--111, doi: 10.1007/BF02392782.
- Weidl, Timo (1999): A remark on Hardy type inequalities for critical Schrödinger operators with magnetic fields, in: The Mazya anniversary collection, Vol. 2 (Rostock, 1998), Birkhäuser, Basel (The Mazya anniversary collection, Vol. 2 (Rostock, 1998)), S. 345--352.
- Weidl, Timo (1999): Another look at Cwikel’s inequality, in: Differential operators and spectral theory, Amer. Math. Soc., Providence, RI (Differential operators and spectral theory), S. 247--254, doi: 10.1090/trans2/189/19.
- Laptev, Ari; Weidl, Timo (1999): Hardy inequalities for magnetic Dirichlet forms, in: Mathematical results in quantum mechanics (Prague, 1998), Birkhäuser, Basel (Mathematical results in quantum mechanics (Prague, 1998)), S. 299--305.
- Weidl, Timo (1999): Eigenvalue asymptotics for locally perturbed second-order differential operators, in: J. London Math. Soc. (2), (J. London Math. Soc. (2)), Jg. 59, Nr. 1, S. 227--251, doi: 10.1112/S0024610799007024.
- Weidl, Timo (1999): Remarks on virtual bound states for semi-bounded operators, in: Comm. Partial Differential Equations, (Comm. Partial Differential Equations), Jg. 24, Nr. 1–2, S. 25--60, doi: 10.1080/03605309908821417.
- Roitberg, I.; Vassiliev, D.; Weidl, T. (1998): Edge resonance in an elastic semi-strip, in: Quart. J. Mech. Appl. Math., (Quart. J. Mech. Appl. Math.), Jg. 51, Nr. 1, S. 1--13, doi: 10.1093/qjmam/51.1.1.
- Netrusov, Y.; Weidl, T. (1996): On Lieb-Thirring inequalities for higher order operators with critical and subcritical powers, in: Comm. Math. Phys., (Comm. Math. Phys.), Jg. 182, Nr. 2, S. 355--370.
- Weidl, Timo (1996): On the Lieb-Thirring constants $L_\gamma,1$ for $\gamma1/2$, in: Comm. Math. Phys., (Comm. Math. Phys.), Jg. 178, Nr. 1, S. 135--146.
- Weidl, Timo (1995): On the discrete spectrum of partial differential and integral operators, ProQuest LLC, Ann Arbor, MI.
- Weidl, Timo (1995): Cwikel type estimates in non-power ideals, in: Math. Nachr., (Math. Nachr.), Jg. 176, S. 315--334, doi: 10.1002/mana.19951760123.
- Birman, M. Sh.; Weidl, T. (1994): The discrete spectrum in a gap of the continuous one for compact supported perturbations, in: Mathematical results in quantum mechanics (Blossin, 1993), Birkhäuser, Basel (Mathematical results in quantum mechanics (Blossin, 1993)), S. 9--12, doi: 10.1007/978-3-0348-8545-4\_2.
- Weidl, Timo (1994): Estimates for operators of the form b(x)a(D) in non-powerlike ideals., in: St.-Petersburg Mathematical Journal, (St.-Petersburg Mathematical Journal), Jg. 5, Nr. 5, S. 907–923.
- Vaıdl\cprime, T. (1993): Estimates for operators of type $b(x)a(D)$ in nonpower ideals, in: Algebra i Analiz, (Algebra i Analiz), Jg. 5, Nr. 5, S. 47--67.
- Vaıdl\cprime, Timo (1992): General operator ideals of weak type, in: Algebra i Analiz, (Algebra i Analiz), Jg. 4, Nr. 3, S. 117--144.
Kontakt:

Timo Weidl
Prof. Dr.Professor - Lehrstuhl für Analysis und Mathematische Physik
- Profil-Seite
- +49 711 685 65534
- E-Mail schreiben
- Termine nach Vereinbarung über das Sekretariat.
[Foto: Robin Lang, 2018]

Elke Peter
Sekretariat am Lehrstuhl für Analysis und Mathematische Physik
[Foto: Robin Lang, 2018]