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Invariance of the essential spectra for perturbations with unbounded hard cores

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Abstract

Based on the Feynman-Kac formula and a certain variant of Weyl's theorem, we determine the essential spectra of Schrödinger operators including unbounded hard cores.

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Author notes

  1. E. Brüning

    Present address: Fakultät für Physik, Universität Bielefeld, D-4800, Bielefeld 1, FRG

  2. F. Gesztesy

    Present address: Institut für Theoretische Physik, Univ. Graz, Austria

Authors and Affiliations

  1. I.H.E.S., 91440, Bures-sur-Yvette, France

    E. Brüning

  2. Institut für Mathematik, AdW der D.D.R., 1086, Berlin, DDR

    M. Demuth

  3. Laboratoire de Physique Théorique et Hautes Energies, Université de Paris XI, 91405, Orsay, France

    F. Gesztesy

Authors
  1. E. Brüning
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  2. M. Demuth
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  3. F. Gesztesy
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Brüning, E., Demuth, M. & Gesztesy, F. Invariance of the essential spectra for perturbations with unbounded hard cores. Lett Math Phys 13, 69–77 (1987). https://doi.org/10.1007/BF00570770

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  • DOI: https://doi.org/10.1007/BF00570770

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