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arXiv · 1305.4566

On Quantized Lienard Oscillator and Momentum Dependent Mass

B. Bagchi·A. Ghose Choudhury·P. Guha
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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.

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B. Bagchi, A. Ghose Choudhury, P. Guha. 2013-05-20. On Quantized Lienard Oscillator and Momentum Dependent Mass. https://arxiv.org/abs/1305.4566

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