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An Existence Theorem for Some Nonlinear Nonlocal Schroedinger Operators and the Soliton-Like Solutions for the Corresponding Dynamic Systems

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Order,Disorder and Chaos in Quantum Systems

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 46))

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Abstract

An existence theorem for a certain class of nonlinear nonlocal Schroedinger operators is presented and the sketch of the proof is given. In addition, it is shown that there exist soliton-like solutions for nonlinear nonlocal systems describing generalized dynamics of an inhomogeneous electron gas in a crystal.

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References

  1. S. Lundquist, N.H. March, eds.Theory of Inhomogeneous Electron Gas, Plenum Press, New York-London 1983.

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Author information

Authors and Affiliations

  1. Institute of Electrophysics Ural Division, Soviet Academy of Sciences, 620219, Sverdlovsk, USSR

    S. I. Petrukhnovsky

Authors
  1. S. I. Petrukhnovsky
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Editor information

Editors and Affiliations

  1. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Head Post Office P.O. Box 79, MĂ´scow, USSR

    Pavel Exner  & Hagen Neidhardt  & 

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© 1990 Birkhäuser Verlag Basel

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Petrukhnovsky, S.I. (1990). An Existence Theorem for Some Nonlinear Nonlocal Schroedinger Operators and the Soliton-Like Solutions for the Corresponding Dynamic Systems. In: Exner, P., Neidhardt, H. (eds) Order,Disorder and Chaos in Quantum Systems. Operator Theory: Advances and Applications, vol 46. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7306-2_32

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  • DOI: https://doi.org/10.1007/978-3-0348-7306-2_32

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-7308-6

  • Online ISBN: 978-3-0348-7306-2

  • eBook Packages: Springer Book Archive

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