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Mathematical Results in Quantum Mechanics pp 63–72Cite as

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The Spectrum of Schrödinger Operators in L p (R d) and in C 0(R d)

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Part of the Operator Theory: Advances and Applications book series (OT,volume 70)

Abstract

The aim of this paper is to present results on the independence of the spectrum of Schrödinger operators in different spaces. We treat Schrödinger operators of a very general kind, namely - ½Δ perturbed by certain measures μ.

Keywords

  • Elliptic Operator
  • Dirichlet Form
  • Selfadjoint Operator
  • Continuous Semigroup
  • Generalize Eigenfunction

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Presented at the meeting by J. Voigt

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Alabama in Birmingham, Birmingham, AL, 35294, USA

    Rainer Hempel

  2. Technische Universität Dresden, Abteilung Mathematik, D-01062, Dresden, Germany

    Jürgen Voigt

Authors
  1. Rainer Hempel
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  2. Jürgen Voigt
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Editor information

Editors and Affiliations

  1. Technische Universität Clausthal, Institut für Mathematik, Erzstrasse 1, D-38678, Clausthal-Zellerfeld, Germany

    M. Demuth

  2. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Head Post Office Box 79, Moscow, Russia

    P. Exner

  3. Fachbereich Mathematik MA 7-2, Technische Universität Berlin, Strasse des 17. Juni 136, D-10623, Berlin, Germany

    H. Neidhardt

  4. Université d’Aix-Marseille II et, Centre de Physique Théorique, CNRS — Luminy — Case 907, F-13288, Marseille Cedex 9, France

    V. Zagrebnov

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© 1994 Springer Basel AG

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Hempel, R., Voigt, J. (1994). The Spectrum of Schrödinger Operators in L p (R d) and in C 0(R d). In: Demuth, M., Exner, P., Neidhardt, H., Zagrebnov, V. (eds) Mathematical Results in Quantum Mechanics. Operator Theory: Advances and Applications, vol 70. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8545-4_10

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  • DOI: https://doi.org/10.1007/978-3-0348-8545-4_10

  • Publisher Name: Birkhäuser, Basel

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