Generation and classification of the translational shape-invariant potentials based on the analytical transfer matrix method

被引：0

作者：

桑明煌 ^{[1
]}

余子星 ^{[1
]}

李翠翠 ^{[1
]}

涂凯 ^{[1
]}

机构：

[1] Department of Physics,Jiangxi Normal University

来源：

Chinese Physics B | 2011年 / 12期

关键词：

translational shape-invariant potentials; supersymmetric quantum mechanics; analytical transfer matrix method; scattered subwaves; generating function;

D O I：

暂无

中图分类号：

O413.1 [量子力学（波动力学、矩阵力学）];

学科分类号：

070205 ; 0809 ;

摘要：

For the conventional translational shape-invariant potentials (TSIPs),it has demonstrated that the phase con-tribution devoted by the scattered subwaves in the analytical transfer matrix quantization condition is integrable and independent of n.Based on this fact we propose a novel strategy to generate the whole set of conventional TSIPs and classify them into three types.The generating functions are given explicitly and the Morse potential is taken as an example to illustrate this strategy.

引用

页码：56 / 60

页数：5