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Order,Disorder and Chaos in Quantum Systems pp 155–158Cite as

A Three-Body One-Dimensional System with Increasing Interactions: Wave Function Asymptotics

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

Abstract

Asymptotics for the discrete-spectrum eigenfunctions in the system of three one-dimensional particles with increasing potentials are constructed. The eikonal equation for the situation of linearly increasing potentials is studied in detail.

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References

  1. Merkuriev S.P., Sov.J.Nucl.Phys. 19 (1974) 222.

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  2. Kuperin Yu.A., Kvitsinsky A.A., Merkuriev S.P., Yarevsky E.A., Proc.of Int.Sem. on High Energy Phys., JINR 1,2–86–668, vol.1, Dubna 1987, p. 212.

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  3. Merkuriev S.P., Faddeev L.D., Quantum Scattering Theory for Few-Body Systems, Moscow, Nauka, 1985 (in Russian).

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  4. Fiziev P.P., Fizieva Z.I., Preprint JINR, R4–86–339, 1986, Dubna.

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  5. Klingenberg W. Lectures on Closed Geodesics. Springer-Verlag, Berlin 1978.

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Author information

Authors and Affiliations

  1. Department of Mathematical & Computational Physics, Institute for Physics, Leningrad University, Leningrad, 198904, USSR

    E. A. Yarevsky

Authors
  1. E. A. Yarevsky
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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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Yarevsky, E.A. (1990). A Three-Body One-Dimensional System with Increasing Interactions: Wave Function Asymptotics. 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_14

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  • DOI: https://doi.org/10.1007/978-3-0348-7306-2_14

  • 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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