On quantized Lienard oscillator and momentum dependent mass

被引：10

作者：

Bagchi, B. ^{[1
]}

Choudhury, A. Ghose ^{[2
]}

Guha, Partha ^{[3
,4
]}

机构：

[1] Univ Calcutta, Dept Appl Math, Kolkata 700009, India

[2] Surendranath Coll, Dept Phys, Kolkata 700009, India

[3] Inst Hautes Etud Sci, F-91440 Bures Sur Yvette, France

[4] SN Bose Natl Ctr Basic Sci, Kolkata 700098, India

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2015年 / 56卷 / 01期

关键词：

QUANTUM-MECHANICS; LAST MULTIPLIER; EQUATIONS;

D O I：

10.1063/1.4906134

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We examine the analytical structure of the nonlinear Lienard oscillator and show that it is a bi-Hamiltonian system depending upon the choice of the coupling parameters. While one has been recently studied in the context of a quantized momentum-dependent mass system, the other Hamiltonian also reflects a similar feature in the mass function and also depicts an isotonic character. We solve for such a Hamiltonian and give the complete solution in terms of a confluent hypergeometric function. (C) 2015 AIP Publishing LLC.

引用

页数：7

共 37 条

[1] Position-dependent mass models and their nonlinear characterization [J].