Riccati equation, factorization method and shape invariance

被引：54
作者：
Cariñena, JF [1 ]
Ramos, A [1 ]
机构：
[1] Univ Zaragoza, Fac Ciencias, Dept Fis Teor, E-50009 Zaragoza, Spain
来源：
REVIEWS IN MATHEMATICAL PHYSICS | 2000年 / 12卷 / 10期
关键词：
D O I：
10.1142/S0129055X00000502
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The basic concepts of factorizable problems in one-dimensional Quantum Mechanics, as well as the theory of Shape Invariant potentials are reviewed. The relation of this last theory with a generalization of the classical Factorization Method presented by Infeld and Hull is analyzed in detail. By the use of some properties of the Riccati equation the solutions of Infeld and Hull are generalized in a simple way.
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页码：1279 / 1304
页数：26
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