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Integrable three-body systems with distinct two-body forces

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Abstract

Translationally invariant one-dimensional three-body systems with mutually different pair potentials are derived that possess a third constant of motion, both classically and quantum-mechanically; a Lax pair is given, and all (even) regular solutions of the corresponding functional equation are obtained.

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References

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Karlsruhe, PO Box 6380, D-7500, Karlsruhe, Germany

    Jens Hoppe & Stefan Theisen

Authors
  1. Jens Hoppe
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  2. Stefan Theisen
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Hoppe, J., Theisen, S. Integrable three-body systems with distinct two-body forces. Lett Math Phys 22, 229–234 (1991). https://doi.org/10.1007/BF00403549

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  • DOI: https://doi.org/10.1007/BF00403549

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