A generalized quantum nonlinear oscillator

被引：37

作者：

Midya, B. ^{[1
]}

Roy, B. ^{[1
]}

机构：

[1] Indian Stat Inst, Phys & Appl Math Unit, Kolkata 700108, India

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2009年 / 42卷 / 28期

关键词：

POSITION-DEPENDENT MASS; EXACTLY SOLVABLE POTENTIALS; SCHRODINGER-EQUATION; SERIES SOLUTIONS; SYSTEMS; GENERATION; ELECTRONS; SUPERSYMMETRY; HAMILTONIANS; EXCITATION;

D O I：

10.1088/1751-8113/42/28/285301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We examine various generalizations, e. g. exactly solvable, quasi-exactly solvable and non-Hermitian variants, of a quantum nonlinear oscillator. For all these cases, the same mass function has been used and it has also been shown that the new exactly solvable potentials possess shape invariance symmetry. The solutions are obtained in terms of classical orthogonal polynomials.

引用

页数：18

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