Algebraic shape invariant models

被引：47

作者：

Chaturvedi, S ^{[1
]}

Dutt, R

Gangopadhyaya, A

Panigrahi, P

Rasinariu, C

Sukhatme, U

机构：

[1] Univ Hyderabad, Dept Phys, Hyderabad, Andhra Pradesh, India

[2] Visva Bharati Univ, Dept Phys, Santinikertan, India

[3] Loyola Univ, Dept Phys, Chicago, IL 60611 USA

[4] Univ Illinois, Dept Phys, Chicago, IL 60680 USA

来源：

PHYSICS LETTERS A | 1998年 / 248卷 / 2-4期

关键词：

D O I：

10.1016/S0375-9601(98)00636-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Motivated by the shape invariance condition in supersymmetric quantum mechanics, we develop an algebraic framework for shape invariant Hamiltonians with a general change of parameters. This approach involves nonlinear generalizations of Lie algebras. Our work extends previous results showing the equivalence of shape invariant potentials involving a translational change of parameters with a standard SO(2, 1) potential algebra for Natanzon type potentials. (C) 1998 Published by Elsevier Science B.V.

引用

页码：109 / 113

页数：5

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