Mathematical Physics


Exact Quantum Mechanics of Quadratic Liénard Type Oscillator Equations with Bound States Energy Spectrum

Authors: Jean Akande, Damien K. K. Adjaï, Lucas H. Koudahoun, Biswanath Rath, Pravanjan Mallick, Rati Ranjan Sahoo, Fernando Y. J. Kpomahou, Marc D. Monsia

The quantization of second order dissipative dynamical systems is well known to be a complicated Sturm-Liouville problem. This work is devoted to the exact quantization of a given quadratic Liénard type oscillator equation. The bound state solutions of the resulting Schrödinger equation in terms of associated Laguerre polynomials and the possibility to recover the energy spectrum of the quantum harmonic oscillator are discussed following the specific values of system parameters, using the Nikiforov-Uvarov method.

Comments: 13 pages

Download: PDF

Submission history

[v1] 2017-02-19 12:24:40

Unique-IP document downloads: 62 times is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus