AN-type Dunkl operators and new spin Calogero-Sutherland models

被引：30

作者：

Finkel, F ^{[1
]}

Gómez-Ullate, D ^{[1
]}

González-López, A ^{[1
]}

Rodríguez, MA ^{[1
]}

Zhdanov, R ^{[1
]}

机构：

[1] Univ Complutense, Fac Ciencias Fis, Dept Fis Teor 2, E-28040 Madrid, Spain

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2001年 / 221卷 / 03期

关键词：

D O I：

10.1007/s002200100468

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new family of AN-type Dunkl operators preserving a polynomial subspace of finite dimension is constructed. Using a general quadratic combination of these operators and the usual Dunkl operators, several new families of exactly and quasi-exactly solvable quantum spin Calogero-Sutherland models are obtained. These include, in particular, three families of quasi-exactly solvable elliptic spin Hamiltonians.

引用

页码：477 / 497

页数：21

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