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arxiv: 1305.4566 · v2 · pith:BTPW54ECnew · submitted 2013-05-20 · 🧮 math-ph · math.MP· nlin.SI· quant-ph

On Quantized Lienard Oscillator and Momentum Dependent Mass

classification 🧮 math-ph math.MPnlin.SIquant-ph
keywords massdependentfunctionhamiltonianlienardoscillatorquantizedsystem
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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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