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Seminar: Topical Issues of Theoretical Physics: Talk on 04.07.2017

1. Institut für Theoretische Physik
2. Institut für Theoretische Physik
3. Institut für Theoretische Physik
4. Institut für Theoretische Physik

Self-Adjointness and Domain of the Fröhlich Hamiltonian

Andreas Wünsch (Universität Stuttgart)

In the large polaron model of H. Fröhlich, the electron-phonon interaction is a small perturbation in form sense, but a large perturbation in operator sense. This means that the form-domain of the Hamiltonian is not affected by the interaction but the domain of self-adjointness is. We are nevertheless able, to give an explicit characterization of the domain in terms of a suitable dressing transform. Using the mapping properties of this dressing transform, we analyse the smoothness of vectors in the domain of the Hamiltonian with respect to the position of the electron.

Room: University, Room 4.331 (NWZ II), Pfaffenwaldring 57, Stuttgart-Vaihingen
Time: 1:15 pm

For questions and/or suggestions please contact Prof. Dr. Günter Wunner.


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