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A remark on Asymptotic Clustering for N—particle Quantum Systems

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Schrödinger Operators The Quantum Mechanical Many-Body Problem

Part of the book series: Lecture Notes in Physics ((LNP,volume 403))

Abstract

We prove that N—particle Hamiltonians with long range pair potentials decaying at infinity like < x >−μ for μ > 1/2 are asymptotically clustering at all non-threshold energies.

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References

  1. S. Agmon: Lectures on exponential decay of solutions of second order elliptic equations, Princeton University Press, Princeton 1982.

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Author information

Authors and Affiliations

  1. Department of Mathematical Methods in Physics, Warsaw University, Hoza 74, 00-682, Warszawa, Poland

    J. Derezinski

  2. Centre de Mathématiques, Ecole Polytechnique, 91128, Palaiseau Cedex, France

    C. Gérard

Authors
  1. J. Derezinski
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  2. C. Gérard
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Editor information

Editors and Affiliations

  1. Matematisk Institut, Universitetsparken, Ny Munkegade, 8000, Aarhus C, Denmark

    Erik Balslev

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© 1992 Springer-Verlag Berlin Heidelberg

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Derezinski, J., Gérard, C. (1992). A remark on Asymptotic Clustering for N—particle Quantum Systems. In: Balslev, E. (eds) Schrödinger Operators The Quantum Mechanical Many-Body Problem. Lecture Notes in Physics, vol 403. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55490-4_5

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  • DOI: https://doi.org/10.1007/3-540-55490-4_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-13888-5

  • Online ISBN: 978-3-540-47107-3

  • eBook Packages: Springer Book Archive

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