Arbitrary-order Darboux transformations for Dunkl-Schrodinger equations with position-dependent mass

被引：1

作者：

Schulze-Halberg, Axel ^{[1
,2
]}

机构：

[1] Indiana Univ Northwest, Dept Math & Actuarial Sci, 3400 Broadway, Gary, IN 46408 USA

[2] Indiana Univ Northwest, Dept Phys, 3400 Broadway, Gary, IN 46408 USA

来源：

MODERN PHYSICS LETTERS A | 2022年 / 37卷 / 31期

关键词：

Dunkl operator; Schrodinger equation; position-dependent mass; Darboux transformation;

D O I：

10.1142/S0217732322502091

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We use a symmetrized Hamiltonian containing Dunkl operators to generate a Dunkl-Schrodinger equation with position-dependent mass. Our equation is shown to admit arbitrary-order Darboux transformations if the mass either has odd parity or is an inverse-square function. We construct the Darboux transformations and apply them to a Dunkl-Schrodinger system featuring a rational double well potential.

引用

页数：21

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