Supersymmetric approach to exactly solvable systems with position-dependent effective masses

被引：114

作者：

Gönül, B ^{[1
]}

Tutcu, D ^{[1
]}

Özer, O ^{[1
]}

机构：

[1] Gaziantep Univ, Dept Engn Phys, TR-27310 Gaziantep, Turkey

来源：

MODERN PHYSICS LETTERS A | 2002年 / 17卷 / 31期

关键词：

supersymmetry; exactly solvable systems; position-dependent effective mass;

D O I：

10.1142/S0217732302008563

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We discuss the relationship between exact solvability of the Schrodinger equation with a position-dependent mass and the ordering ambiguity in the Hamiltonian operator within the framework of supersymmetric quantum mechanics. The one-dimensional Schrodinger equation, derived from the general form of the effective mass Hamiltonian, is solved exactly for a system with exponentially changing mass in the presence of a potential with similar behaviour, and the corresponding supersymmetric partner Hamiltonians are related to the effective-mass Hamiltonians proposed in the literature.

引用

页码：2057 / 2066

页数：10

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