7 papers · 1 filter
Triple exceptional point with unitary paths of unfolding in a three-site fermionic Swanson-like model
Bijan Bagchi, Aritra Ghosh, Miloslav Znojil
A fermionic three-site generalization of the popular bosonic Swanson model is studied as providing an exactly solvable five-parametric example of the quantum-mechanical unitary-evo…
Generalized quantum theory for accessing nonlinear systems: the case of Liénard and Levinson-Smith equations
Bijan Bagchi, Anindya Ghose-Choudhury
We show that a recently introduced generalized scheme of quantum mechanics has connections to Liénard and Levinson-Smith classes of nonlinear systems. For the Liénard type, which…
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…
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…
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 variab…
Generating QES potentials supporting zero energy normalizable states for an extended class of truncated Calogero Sutherland model
Satish Yadav, Sudhanshu Shekhar, Bijan Bagchi +1
Motivated by recent interest in the search for generating potentials for which the underlying Schrödinger equation is solvable, we report in the recent work several situations whe…