An update on the classical and. quantum harmonic oscillators on the sphere and the hyperbolic plane in polar coordinates

被引：11
|
作者：
Quesne, C. [1 ]
机构：
[1] Univ Libre Bruxelles, Phys Nucl Theor & Phys Math, B-1050 Brussels, Belgium
来源：
PHYSICS LETTERS A | 2015年 / 379卷 / 26-27期
关键词：
Nonlinear oscillator; Euler-Lagrange equation; Schrodinger equation; NONLINEAR OSCILLATOR;
D O I：
10.1016/j.physleta.2015.04.011
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A simple derivation of the classical solutions of a nonlinear model describing a harmonic oscillator on the sphere and the hyperbolic plane is presented in polar coordinates. These solutions are then related to those in cartesian coordinates, whose form was previously guessed. In addition, the nature of the classical orthogonal polynomials entering the bound-state radial wavefunctions of the corresponding quantum model is identified. (C) 2015 Elsevier B.V. All rights reserved.
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页码：1589 / 1593
页数：5
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