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On quantized Lienard oscillator and momentum dependent mass
B BAGCHI, A GHOSE CHOUDHURY, PARTHA GUHA
Published in AMER INST PHYSICS
2015
Volume: 56
   
Issue: 1
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. (C) 2015 AIP Publishing LLC.
About the journal
JournalJournal of Mathematical Physics
PublisherAMER INST PHYSICS
ISSN0022-2488