Integrable three-body problems with two- and three-body interactions

Yasushi Komori, Kazuhiro Hikami

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Abstract

Spin generalizations of both the elliptic Calogero-Marchioro-Wolfes model and the nonlinear Schrödinger model are studied. These models are three-body problems with two- and three-body potentials, and mathematically related with the exceptional root system of type 62. We construct the integrable differential-difference operator, the so-called Dunkl operator, based on the infinite-dimensional representation for solutions of the variant of the classical Yang-Baxter equation. By use of these operators, we investigate the integrability and the scattering matrices.

Original languageEnglish
Pages (from-to)1913-1923
Number of pages11
JournalJournal of Physics A: Mathematical and General
Volume30
Issue number6
DOIs
Publication statusPublished - Mar 21 1997
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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