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

Research output: Contribution to journalArticle

17 Citations (Scopus)

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

Fingerprint

Dunkl Operators
Elliptic Operator
operators
many body problem
Operator
Relationships

All Science Journal Classification (ASJC) codes

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

Cite this

Boundary K-matrix, elliptic Dunkl operator and quantum many-body systems. / Hikami, Kazuhiro.

In: Journal of Physics A: Mathematical and General, Vol. 29, No. 9, 01.12.1996, p. 2135-2147.

Research output: Contribution to journalArticle

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