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Tuesday Seminar of Analysis
Seminar information archive ～04/02｜Next seminar｜Future seminars 04/03～
| Date, time & place | Tuesday 16:00 - 17:30 Room # (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Kazuhiro Ishige, Yasuhito Miyamoto, Neal Bez, Hidetaka Sakai, Ryo Takada |
2016/04/12
16:50-18:20 Room #126 (Graduate School of Math. Sci. Bldg.)
Jussi Behrndt (Graz University of Technology)
Scattering matrices and Dirichlet-to-Neumann maps (English)
Jussi Behrndt (Graz University of Technology)
Scattering matrices and Dirichlet-to-Neumann maps (English)
[ Abstract ]
In this talk we discuss a recent result on the representation of the scattering matrix in terms of an abstract Titchmarsh-Weyl m-function. The general result can be applied to scattering problems for Schrödinger operators with $\delta$-type interactions on curves and hypersurfaces, and scattering problems involving Neumann and Robin realizations of Schrödinger operators on unbounded domains. In both applications we obtain formulas for the corresponding scattering matrices in terms of Dirichlet-to-Neumann maps. This talk is based on joint work with Mark Malamud and Hagen Neidhardt.
In this talk we discuss a recent result on the representation of the scattering matrix in terms of an abstract Titchmarsh-Weyl m-function. The general result can be applied to scattering problems for Schrödinger operators with $\delta$-type interactions on curves and hypersurfaces, and scattering problems involving Neumann and Robin realizations of Schrödinger operators on unbounded domains. In both applications we obtain formulas for the corresponding scattering matrices in terms of Dirichlet-to-Neumann maps. This talk is based on joint work with Mark Malamud and Hagen Neidhardt.
