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Extending the Bethe Ansatz: The Quantum Three-Particle Ring

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Abstract

The quantum problem of three impenetrable particles of arbitrary mass confined to a ring is solved by the Bethe ansatz. The solution of this problem is intimately related to the solution a Helmholtz equation in the interior of an arbitrary acute triangle, a problem thought insoluble by Bethe ansatz methods.

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REFERENCES

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Authors and Affiliations

  1. Department of Physics, Florida Atlantic University, Boca Raton, Florida, 33431

    J. B. McGuire & Charlotte Dirk

Authors
  1. J. B. McGuire
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  2. Charlotte Dirk
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McGuire, J.B., Dirk, C. Extending the Bethe Ansatz: The Quantum Three-Particle Ring. Journal of Statistical Physics 102, 971–980 (2001). https://doi.org/10.1023/A:1004815406443

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  • DOI: https://doi.org/10.1023/A:1004815406443

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