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On quantized Liénard oscillator and momentum dependent massPublished in American Institute of Physics Inc.
2015
DOI: 10.1063/1.4906134
Volume: 56
Issue: 1
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. © 2015 AIP Publishing LLC.
Topics: Confluent hypergeometric function (58)%58% related to the paper, Hamiltonian (quantum mechanics) (56)%56% related to the paper and Schrödinger equation (51)%51% related to the paper
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Content may be subject to copyright.This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publ... ...This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in [On quantized Liénard oscillator and momentum dependent mass. Journal of Mathematical Physics 56, 1 p012105 (2015)] and may be found at https://doi.org/10.1063/1.4906134.
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