Topics in quantum integrable systems

Kazuhiro Hikami, Miki Wadati

研究成果: Contribution to journalArticle査読

10 被引用数 (Scopus)

抄録

Recent developments in the theory of quantum integrable particle systems in one-dimension with inverse square interactions are reviewed. First the Yangian symmetry is introduced and the energy spectra of the related spin models are discussed. The character of the su(n)1 WZNW theory is shown to be closely related with the Rogers-Szegö polynomial. Second, the infinite dimensional representation for solutions of the Yang-Baxter equation and the reflection equation is given. Based on the representation, the Dunkl operators associated with the classical root systems are constructed. The Macdonald polynomial and its generalization are discussed in connection with the eigenstates for the trigonometric case. Finally, some results on short-range interacting systems are mentioned.

本文言語英語
ページ(範囲)3569-3594
ページ数26
ジャーナルJournal of Mathematical Physics
44
8
DOI
出版ステータス出版済み - 8 1 2003
外部発表はい

All Science Journal Classification (ASJC) codes

  • 統計物理学および非線形物理学
  • 数理物理学

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