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A model in perturbation theory

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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

We consider a model in the perturbation theory where the Hamiltonian H is a sum of a multiplication operator H 0 by |x| 2 l in the space L 2(ℝd) and of an integral operator V with oscillating kernel. We find conditions for the coincidence of the essential spectra of the operators H 0 and H and for the existence and completeness of the wave operators relating H 0 and H.

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References

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Author information

Authors and Affiliations

  1. Université de Rennes, France

    D. Yafaev

Authors
  1. D. Yafaev
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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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Yafaev, D. (1999). A model in perturbation theory. 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_37

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  • DOI: https://doi.org/10.1007/978-3-0348-8745-8_37

  • 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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