Integration of Quantum Many-Body Problems by Affine Knizhnik-Zamolodchikov Equations
Integration of Quantum Many-Body Problems by Affine Knizhnik-Zamolodchikov Equations
复制标题
仿射 Knizhnik-Zamolodchikov 方程对量子多体问题的积分
DOI：
10.1006/aima.1994.1049
复制
发表时间：
1994
影响因子：
1.7
通讯作者：
I. Cherednik
中科院分区：
文献类型：
--
作者：
I. Cherednik
摘要对于任意的根系，建立了Knizhnik-Zamolodchikov方程和Dunkl方程的仿射相似的等价关系。作为推论，从上述KZ方程(在Hecke代数的诱导表示中)的解到相应的矩阵量子Calogero-Sutherland算符的本征函数的同构，推广了Matsuo映射。
Abstract An equivalence of the affine analogues of Knizhnik-Zamolodchikov and Dunkl equations is established for arbitrary root systems. As a corollary, an isomorphism is obtained from the solutions of the above KZ equations (in the induced representations of Hecke algebras) to the eigenfunctions for the corresponding matrix quantum Calogero-Sutherland operators, which generalizes the Matsuo map.