Accepted for publication in JNEEA

Branched Hamiltonians for a quadratic type Lienard oscillator


B. Bagchi

Department of Physics, Shiv Nadar University, Dadri, UP 201314, India

D. Ghosh

Department of Mathematics, Acharya Prafulla Chandra College. New Barrackpur, West Bengal, 24 Parganas 700131, India

T. Tummuru

Department of Physics, Shiv Nadar University, Dadri, UP 201314, India

Received on September 27, 2017, Revised version: November 29, 2018
Accepted on April 9, 2018 (with minor revision), July 13, 2019 (final version)

Communicated by Hui-Sheng Ding

Abstract.  We point out that when a quadratic type LiĆ©nard equation is suitably interpreted,[it] 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.
Keywords: n/a.
2010 Mathematics Subject Classification:   n/a.

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