Real Lie algebras of differential operators and quasi-exactly solvable potentials

被引：17

作者：

GonzalezLopez, A

Kamran, N

Olver, P

机构：

[1] MCGILL UNIV, DEPT MATH, MONTREAL, PQ H3A 2K6, CANADA

[2] UNIV MINNESOTA, SCH MATH, MINNEAPOLIS, MN 55455 USA

来源：

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1996年 / 354卷 / 1710期

关键词：

D O I：

10.1098/rsta.1996.0044

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We first establish some general results connecting real and complex Lie algebras of first-order differential operators. These are applied to completely classify all finite-dimensional real Lie algebras of first-order differential operators in R(2). Furthermore, ave find all algebras which are quasi-exactly solvable, along with the associated finite-dimensional modules of analytic functions. The resulting real Lie algebras are used to construct new quasi-exactly solvable Schrodinger operators on R(2).

引用

页码：1165 / 1193

页数：29

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