Relationship Between Two Classes of Shape-Invariant Potentials  

作　　者：QIAN Shang-Wu GU Zhi-Yu 

机构地区：[1]Department of Physics, Peking University, Beijing 100871, China Department of Physics, Capital Normal University, Beijing 100037, China

出　　处：《Communications in Theoretical Physics》2001年第10期391-394,共4页理论物理通讯（英文版）

基　　金：国家自然科学基金

摘　　要：We show that two classes of shape-invariant potentials are interrelated to each other. For all one-dimensional shape-invariant potentials with parameters related by translation, i.e. the first class of shapc-invariant potentials (SIP1),we can find their multi-parameter deformations with q acting as the deformation parameter, i.e. the second class of shape-invariant potentials (SIP2) with parameters related by scaling. In order to get closed solution of SIP2, we consider two infinitesimal intervals, one is close to q= 0 another close to q = 1, and show that in these intervals we can get separately two first-order approximate solutions in closed form, furthermore we prove that all SIP1 can be obtained by the limiting procedures for corresponding SIP2.

关 键 词：shape-invariant potential  superpotential  MULTI-PARAMETER DEFORMATION 

分 类 号：O4[理学—物理]