Branched Hamiltonians for a quadratic type Liénard oscillator

2017/08/17 by Bijan Bagchi, Dibyendu Ghosh, Bagchi, Bijan +3
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods for differential equations #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1708.05232

openalex publication_date 2017/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We point out that when a quadratic type Liénard equation is suitably interpreted shows branching due to the double valuedness of the governing Hamiltonian. Under certain approximation of the guiding coupling constant we derive its quantum counterpart that is guided by a momentum-dependent mass function.

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