Algebraic approach to shape invariance

被引：162

作者：

Balantekin, AB

机构：

[1] Univ Washington, Inst Nucl Theory, Seattle, WA 98195 USA

[2] Univ Washington, Dept Astron, Seattle, WA 98195 USA

[3] Univ Wisconsin, Dept Phys, Madison, WI 53706 USA

来源：

PHYSICAL REVIEW A | 1998年 / 57卷 / 06期

关键词：

D O I：

10.1103/PhysRevA.57.4188

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The integrability condition called shape invariance is shown to have an underlying algebraic structure and the associated Lie algebras are identified. These shape-invariance algebras transform the parameters of the potentials such as strength and range. Shape-invariance algebras, in general, are shown to be infinite dimensional. The conditions under which they become finite dimensional are explored.

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页码：4188 / 4191

页数：4

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