Branched Hamiltonians for a quadratic type Liénard 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 on November 29, 2018
Accepted on April 9, 2018 (with minor revision)
Communicated by Hui-Sheng Ding
| Abstract. We point out that when a quadratic type Liénard 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: | Branched Hamiltonians, Nonstandard Lagrangian, Liénard oscillator, momentum dependent mass. |
| 2010 Mathematics Subject Classification: 53A17, 34C23. | |