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On Trace Formulas for Schrödinger-Type Operators

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Multiparticle Quantum Scattering With Applications to Nuclear, Atomic and Molecular Physics

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 89))

Abstract

We review a variety of recently obtained trace formulas for one- and multi-dimensional Schrödinger operators. Some of the results are extended to Sturm- Liouville and matrix-valued Schrödinger operators. Furthermore, we recall a set of trace formulas in one, two, and three dimensions related to point interactions as well as a uniqueness result for three-dimensional Schrödinger operators with spherically symmetric potentials.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Missouri, Columbia, MO, 65211, USA

    F. Gesztesy

  2. Department of Mathematical Sciences, Norwegian Institute of Technology, University of Trondheim, N-7034, Trondheim, Norway

    H. Holden

Authors
  1. F. Gesztesy
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  2. H. Holden
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Editor information

Editors and Affiliations

  1. Department of Chemistry and Supercomputer Institute, University of Minnesota, Minneapolis, MN, 55455-0431, USA

    Donald G. Truhlar

  2. Department of Mathematics, California Institute of Technology, Pasadena, CA, 91125-0001, USA

    Barry Simon

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Gesztesy, F., Holden, H. (1997). On Trace Formulas for Schrödinger-Type Operators. In: Truhlar, D.G., Simon, B. (eds) Multiparticle Quantum Scattering With Applications to Nuclear, Atomic and Molecular Physics. The IMA Volumes in Mathematics and its Applications, vol 89. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1870-8_5

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  • DOI: https://doi.org/10.1007/978-1-4612-1870-8_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7318-9

  • Online ISBN: 978-1-4612-1870-8

  • eBook Packages: Springer Book Archive

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