On Quantized Lienard Oscillator and Momentum Dependent Mass
Mathematical Physics
2015-02-10 v2 math.MP
Exactly Solvable and Integrable Systems
Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.1305.4566,
title = {On Quantized Lienard Oscillator and Momentum Dependent Mass},
author = {B. Bagchi and A. Ghose Choudhury and P. Guha},
journal= {arXiv preprint arXiv:1305.4566},
year = {2015}
}
Comments
10 pages,Final Version