INTEGRABILITY IN THE THEORY OF SCHRODINGER OPERATOR AND HARMONIC-ANALYSIS

被引：28

作者：

CHALYKH, OA

VESELOV, AP

机构：

[1] Department of Mathematics and Mechanics, Moscow State University, Moscow

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1993年 / 152卷 / 01期

关键词：

D O I：

10.1007/BF02097056

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The algebraic integrability for the Schrodinger equation in R(n) and the role of the quantum Calogero-Sutherland problem and root systems in this context are discussed. For the special values of the parameters in the potential the explicit formula for the eigenfunction of the corresponding Sutherland operator is found. As an application the explicit formula for the zonal spherical functions on the symmetric spaces SU2n*/Sp(n) (type All in Cartan notations) is presented.

引用

页码：29 / 40

页数：12

共 28 条

[1]

BEERENDS RJ, 1988, COMPOS MATH, V66, P145

[2]

BEREZIN FS, 1964, VESTNIK MOSK U, V21

[3] SOLUTION OF ONE-DIMENSIONAL N-BODY PROBLEMS WITH QUADRATIC AND/OR INVERSELY QUADRATIC PAIR POTENTIALS [J].