General forms of a N-fold supersymmetric family

被引：77

作者：

Aoyama, H ^{[1
]}

Sato, M

Tanaka, T

机构：

[1] Kyoto Inst Technol, Fac Integrated Human Studies, Kyoto 6068501, Japan

[2] Univ Tokyo, Inst Solid State Phys, Kashiwa, Chiba 2778581, Japan

来源：

PHYSICS LETTERS B | 2001年 / 503卷 / 3-4期

基金：

日本学术振兴会;

关键词：

quantum mechanics; supersymmetry; non-linear superalgebra; intertwining operators;

D O I：

10.1016/S0370-2693(01)00250-7

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We report general forms of one family of the N-fold supersymmetry in one-dimensional quantum mechanics. The N-fold supersymmetry is characterized by the supercharges which are Nth order in differential operators. The family reported here is defined as a particular form of the supercharges and is referred to as "type A". We show that a quartic and a periodic potentials, which were previously found to be N-fold supersymmetric by the authors, are realized as special cases of this type A family. (C) 2001 Published by Elsevier Science B.V.

引用

页码：423 / 429

页数：7

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