Algebraic approach to shape invariance

被引：161
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.
引用
收藏
页码：4188 / 4191
页数：4
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