Boundary K-matrix, elliptic Dunkl operator and quantum many-body systems

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Abstract

The infinite-dimensional representation of the boundary K-operator (the solution of the reflection equation) is considered. The trigonometric K -matrix is studied as a degenerate case of the elliptic operator. A method to construct the elliptic Dunkl operator is proposed, and the relationship with the quantum many-body problem is also discussed.

Original languageEnglish
Pages (from-to)2135-2147
Number of pages13
JournalJournal of Physics A: Mathematical and General
Volume29
Issue number9
DOIs
Publication statusPublished - Dec 1 1996
Externally publishedYes

All Science Journal Classification (ASJC) codes

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

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