5 papers · 1 filter
Quasi-harmonic spectra from branched Hamiltonians
Aritra Ghosh, Bijan Bagchi, A. Ghose-Choudhury +2
We revisit the canonical quantization to assess the spectrum of the modified Emden equation , which is an isochronous case of t…
Isochronous oscillator with a singular position-dependent mass and its quantization
Aritra Ghosh, Bhabani Prasad Mandal, Bijan Bagchi
In this paper, we present an analysis of the equation , where and is a real-valued variable. We first discuss th…
Generalized Liénard systems and isochronous connections
Bijan Bagchi, A. Ghose-Choudhury, Aritra Ghosh +1
In this paper, we explore some classical and quantum aspects of the nonlinear Liénard equation , where is a real variable…
Dirac equation with Morse potetnial under the influence of position-dependent mass and local Fermi velocity
Bijan Bagchi, Rahul Ghosh
We solve the one-dimensional Dirac equation by taking into account the possibility of position-dependence in the mass function. We also take the Fermi velocity to act as a local va…
Generalized Uncertainty principle and momentum-dependent effective mass Schrodinger equation
Bijan Bagchi, Rahul Ghosh, Partha Goswami
We show in this paper that the basic representations of position and momentum in a quantum mechanical system, that are guided by a generalized uncertainty principle and lead to a c…