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Spectral Properties of the Operators Hψ = −ψ xx + p(x)ψ + v(εx)ψ, p is Periodic

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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

We describe the spectrum in L2(ℝ) and the asymptotic behavior of the eigenfunctions of the operator indicated in the title as ε → 0.

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References

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Author information

Authors and Affiliations

  1. Institute of Physics, Leningrad State University, 198904, Leningrad - St.Peterhof, USSR

    V. S. Buslaev

Authors
  1. V. S. Buslaev
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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, Môscow, USSR

    Pavel Exner  & Hagen Neidhardt  & 

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© 1990 Birkhäuser Verlag Basel

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Buslaev, V.S. (1990). Spectral Properties of the Operators Hψ = −ψ xx + p(x)ψ + v(εx)ψ, p is Periodic. 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_8

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  • DOI: https://doi.org/10.1007/978-3-0348-7306-2_8

  • 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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