On the new translational shape-invariant potentials

被引：18
|
作者：
Ramos, Arturo [1 ]
机构：
[1] Univ Zaragoza, Dept Anal Econ, E-50005 Zaragoza, Spain
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2011年 / 44卷 / 34期
关键词：
QUANTUM-MECHANICS; RICCATI EQUATION; POLYNOMIALS;
D O I：
10.1088/1751-8113/44/34/342001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Recently, several authors have found new translational shape-invariant potentials not present in classic classifications like those of Infeld and Hull. For example, Quesne on the one hand and Bougie, Gangopadhyaya and Mallow on the other have provided examples of them, consisting on deformations of the classical ones. We analyze the basic properties of the new examples and observe a compatibility equation which has to be satisfied by them. We study particular cases of such an equation and give more examples of new translational shape-invariant potentials.
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收藏
页数：9
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