This image shows Timo Weidl

Timo Weidl

Prof. Dr.

Professor - Chair for Analysis and Mathematical Physics
Institute of Analysis, Dynamics and Modeling
Chair for Analysis and Mathematical Physics
[Photo: Robin Lang, 2018]

Contact

+49 711 685 65534
 +49 711 685 65594
Website
Business card (VCF)

Pfaffenwaldring 57
70569 Stuttgart
Germany
Room: 8.347

Office Hours

by appointment

Subject

I focus on the spectral analysis of differential and integral operators with applications to quantum mechanics.

  1. T. Weidl: ``Some general operator ideals of the weak type'', (Russian) Algebra i Analiz, 4, 3 (1992) 117-144, (English) AMS St.-Petersburg Mathematical Journal, 4, 3 (1993) 503-525.
  2. T. Weidl: ``Estimates for operators of the type b(x)a(D) in non-powerlike ideals'', (Russian) Algebra i Analiz, 5, 5 (1993) 48-67, (English) AMS St.-Petersburg Mathematical Journal 5, 5 (1994) 907-923.
  3. M. Sh. Birman, T. Weidl: ``The discrete spectrum in a gap of the continuous one for compact supported perturbations'', Operator Theory: Advances and Applications, 70 (1993) 9-12.
  4. T. Weidl: ``Cwikel type estimates in nonpower ideals'', Mathematische Nachrichten, 176 (1995) 315-334.
  5. T. Weidl: ``On the Lieb-Thirring constants $L_{\gamma,1}$ for $\gamma\geq 1/2$'', Communications in Mathematical Physics, 178, 1 (1996) 135-146.
  6. Y. Netrusov, T. Weidl: ``On Lieb-Thirring inequalities for higher order operators with critical and subcritical powers'', Communications in Mathematical Physics, 182, (1996) 355-370.
  7. I. Roitberg, D. Vassiliev, T. Weidl: ``Edge resonance in an elastic semi-strip'', Quaterly Journal of Mechanics and Applied Mathematics, 51 (1998) 1-13.
  8. T. Weidl: ``Eigenvalue asymptotics for locally perturbed second order differential operators'', Journal of the London Mathematical Society 57 1 (1999) 227-251.
  9. T. Weidl: ``Remarks on virtual bound states for semi-bounded operators'', Communications in Partial Differential Equations 24 1&2 (1999) 25-60.
  10. T. Weidl: ``Another look at Cwikel's inequality'', in Differential Operators and Spectral Theory. M.Sh. Birman's 70th Anniversary Collection. AMS Translations Series 2 189 (1999) 247-254.
  11. A. Laptev, T. Weidl: ``Hardy inequalities for magnetic Dirichlet forms'', Operator Theory: Advances and Applications 108 (1999) 299-305.
  12. T. Weidl: ``A Remark on Hardy type inequalities for critical Schrödinger operators with magnetic fields'', Operator Theory: Advances and Applications 110 (1999) 345-352.
  13. A. Laptev, T. Weidl: ``Sharp Lieb-Thirring Inequalities in High Dimensions'', Acta Mathematica 184 (2000) 87-111.
  14. D. Hundertmark, A. Laptev, T. Weidl: ``New bounds on the Lieb-Thirring constants'', Inventiones mathematicae 140 3 (2000) 693-704.
  15. A. Laptev, T. Weidl: ``Recent results on Lieb-Thirring inequalities'', Proceedings Journees EDP 5-9 juin 2000 (2000) XX-1 - XX-14
  16. P. Exner, T. Weidl: ``Lieb-Thirring Inequalities on Trapped Modes in Quantum Wires'', XIIIth International Congress on Mathematical Physics (London, 2000), 437-443, Int. Press, Boston, MA, 2001.
  17. A. Laptev, O. Safronov, T. Weidl: ``Bound state asymptotics for elliptic operators with strongly degenerated symbols'', Nonlinear problems in mathematical physics and related topics, I, In Honor of Professor O. A. Ladyzhenskaya. 233-246, Int. Math. Ser. (N. Y.), 1, Kluwer/Plenum, New York, 2002.
  18. S. Vugalter, T. Weidl: ``On the Discrete Spectrum of a Pseudo-Relativistic Two-Body Pair Operator'', Ann. Henri Poincaré 4 (2003), no. 2, 301-341.
  19. P. Exner, H. Linde, T. Weidl: ``Lieb-Thirring inequalities for geometrically induced bound states'', Lett. Math. Phys. 70 (2004), no. 1, 83-95.
  20. Spectral analysis of partial differential equations. Abstracts from the workshop held November 28--December 4, 2004. Organized by Alexander V. Sobolev and Timo Weidl. Oberwolfach Reports. Vol. 1, no. 4. Oberwolfach Rep. 1 (2004), no. 4, 2839--2911.
  21. C. Förster, T. Weidl: ``Trapped modes for an elastic strip with perturbation of the material properties'', Quarterly Journal of Mechanics and Applied Mathematics 2006 59(3), 399-418.
  22. T. Weidl: ``Nonstandard Cwikel Type Estimates''. 337--357, Contemp. Math., 445, Amer. Math. Soc., Providence, RI, 2007.
  23. H. Kovarik, S. Vugalter, T. Weidl: ``Spectral estimates for two-dimensional Schrödinger operators with application to quantum layers''. Comm. Math. Phys. 275 (2007), no. 3, 827--838.
  24. R. L. Frank, B. Simon, T. Weidl: ``Eigenvalue Bounds for Perturbations of Schrödinger Operators and Jacobi Matrices With Regular Ground States.'' Comm. Math. Phys. 278 (2008), no. 1, 199--208.
  25. T. Weidl: ``Improved Berezin-Li-Yau inequalities with a remainder term'', in Spectral Theory of Differential Operators, Amer. Math. Soc. Transl. (2) 225 (2008), 253--263.
  26. R. L. Frank, M. Loss, T. Weidl: ``Polya's Conjecture in the Presence of a Constant Magnetic Field''. JEMS 11 (2009) 1365-1383.
  27. H. Kovarik, S. Vugalter, T. Weidl: ``Two-dimensional Berezin-Li-Yau inequalities with a correction term''. Comm. Math. Phys. 287 (2009) no. 3, 959--981.
  28. Low eigenvalues of Laplace and Schrödinger operators. Abstracts from the workshop held February 8--14, 2009. Organized by Mark Ashbaugh, Rafael Benguria, Richard Laugesen and Timo Weidl. Oberwolfach Reports. Vol. 6, no.1 (2009) 355-427.
  29. L. Geisinger, T. Weidl: ``Universal bounds for traces of the Dirichlet Laplace operator''. Journal of the London Mathematical Society 82 (2010) (2) 395-419.
  30. A. Laptev, L. Geisinger, T. Weidl: ``Geometrical versions of improved Berezin-Li-Yau inequalities''. Journal of Spectral Theory 1 (2011), 87-109.
  31. T. Weidl: ``Semiclassical Spectral Bounds and Beyond''. in Mathematical results in quantum physics, 110-129, World Sci. Publ., Hackensack, NJ, 2011
  32. L. Geisinger, T. Weidl: ``Sharp spectral estimates in domains of infinite volume''. Reviews in Mathematical Physics 23 (2011) (6) 615-641.
  33. C. Förster, T. Weidl: ``Trapped modes in an elastic plate with a hole'' (Russian). Algebra i Analiz 23 (2011) (1) 255-288. English translation in St. Petersburg Math. J. 23 (2012) (1) 179-202.
  34. H. Kovarik, T. Weidl: ``Improved Berezin-Li-Yau inequalities with magnetic fields''. Proceedings of the Royal Society of Edinburgh, 145A, 145-160, 2015.
  35. D. Barseghyan, P. Exner, H. Kovarik, T. Weidl: ``Semiclassical bounds in magnetic bottles''. Reviews in Mathematical Physics, 28 (1) 2016. http://dx.doi.org/10.1142/S0129055X16500021 29pp.
  36. A. Hänel, T. Weidl: ``Eigenvalue asymptotics for an elastic strip and an elastic plate with a crack''. Quaterly Journal of Mechanics and Applied Mathematics, 69 (4) 319-352, 2016.
  37. A. Hänel, T. Weidl: ``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.), 315-352, 2017.
  38. H. Kovarik, B. Ruszkowski, T. Weidl: ``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.
  39. H. Kovarik, B. Ruszkowski, T. Weidl: ``Melas-type bounds for the Heisenberg Laplacian on bounded domains''. Journal of Spectral Theory. 2018 DOI 10.4171/JST/200 22pp.

Teaching please see C@mpus

Spectral Theory and Dynamics of Quantum Systems

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