On quantized Liénard oscillator and momentum dependent mass

B. Bagchi, A. Ghose Choudhury, Partha Guha

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


We examine the analytical structure of the nonlinear Liénard 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.

Original languageBritish English
Article number012105
JournalJournal of Mathematical Physics
Issue number1
StatePublished - 20 Jan 2015


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