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Existence of Averaging Integrals for Self-Adjoint Operators

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Mathematical Results in Quantum Mechanics

Part of the book series: Operator Theory Advances and Applications ((OT,volume 108))

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Abstract

The existence of averaging integrals of self-adjoint operators (which appear in normal form and KAM-type perturbation theories) is proven for certain classes of operators with purely discrete spectrum.

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References

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Author information

Authors and Affiliations

  1. Institute for Theoretical Physics A, TU Clausthal, Leibizstraße 10, 38678, Clausthal-Zellerfeld, Germany

    Wolfgang Scherer

Authors
  1. Wolfgang Scherer
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Editor information

Editors and Affiliations

  1. Department of Theoretical Physics, Nuclear Physics Institute Academy of Science, Rez near Prague, 25068, Czech Republic

    Jaroslav Dittrich , Pavel Exner  & Miloš Tater ,  & 

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© 1999 Springer Basel AG

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Scherer, W. (1999). Existence of Averaging Integrals for Self-Adjoint Operators. In: Dittrich, J., Exner, P., Tater, M. (eds) Mathematical Results in Quantum Mechanics. Operator Theory Advances and Applications, vol 108. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8745-8_35

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  • DOI: https://doi.org/10.1007/978-3-0348-8745-8_35

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9754-9

  • Online ISBN: 978-3-0348-8745-8

  • eBook Packages: Springer Book Archive

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