141 citations · 693 across the 30 of their papers we have counts for
31 papers
Entropy bounds, Geroch process, and the sign of deformation parameter
Bijan Bagchi, Akshat Pandey, Parmest Roy +1
Based on Geroch's process of dropping a system into a black hole from the vicinity of the horizon, we investigate in this paper the influence of deformation on the Bekenstein entro…
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…
Accessing Levinson-Smith and Liénard equations in a nonlinear framework of quantum mechanics
Bijan Bagchi, Anindya Ghose-Choudhury
In this paper, we present the reduction of a recently introduced generalized quantum scheme of Chodos and Cooper to Levinson-Smith and Liénard classes of nonlinear system that enab…
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…
Painlevé-Gullstrand coordinates for Kiselev black holes
Bijan Bagchi, Sauvik Sen
We investigate the implications provided by the modified Painlevé-Gullstrand coordinates in the context of quintessence for the Kiselev black hole. In this regard, we set up a full…
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…
First integrals of some two-dimensional integrable Hamiltonian systems
Aritra Ghosh, Akash Sinha, Bijan Bagchi
In this paper, we discuss some results on integrable Hamiltonian systems with two degrees of freedom. We revisit the much-studied problem of the two-dimensional harmonic oscillator…
Landauer's principle and black hole area quantization
Bijan Bagchi, Aritra Ghosh, Sauvik Sen
This article assesses Landauer's principle from information theory in the context of area quantization of the Schwarzschild black hole. Within a quantum-mechanical perspective wher…
Quantized Area of the Schwarzschild Black Hole: A non-Hermitian Perspective
Bijan Bagchi, Aritra Ghosh, Sauvik Sen
In this work, our aim is to link Bekenstein's quantized form of the area of the event horizon to the Hamiltonian of the non-Hermitian Swanson oscillator which is known to be $\math…
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 when…
A reappraisal of Lagrangians with non-quadratic velocity dependence and branched Hamiltonians
Bijan Bagchi, Aritra Ghosh, Miloslav Znojil
Time and again, non-conventional forms of Lagrangians with non-quadratic velocity dependence have found attention in the literature. For one thing, such Lagrangians have deep conne…
Exceptional points and quantum phase transition in a fermionic extension of the Swanson oscillator
Akash Sinha, Aritra Ghosh, Bijan Bagchi
Motivated by the structure of the Swanson oscillator which is a well-known example of a non-Hermitian quantum system consisting of a general representation of a quadratic Hamiltoni…
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…
Branched Hamiltonians for a class of Velocity Dependent Potentials
Bijan Bagchi, Syed M. Kamil, Tarun R. Tummuru +2
Hamiltonians that are multivalued functions of momenta are of topical interest since they correspond to the Lagrangians containing higher-degree time derivatives. Incidentally, suc…
Rational extensions of the trigonometric Darboux-Pöschl-Teller potential based on para-Jacobi polynomials
B. Bagchi, Y. Grandati, C. Quesne
The possibility for the Jacobi equation to admit in some cases general solutions that are polynomials has been recently highlighted by Calogero and Yi, who termed them para-Jacobi…
On Quantized Lienard Oscillator and Momentum Dependent Mass
B. Bagchi, A. Ghose Choudhury, P. Guha
We examine the analytical structure of the nonlinear Lienard oscillator and show that it is a bi-Hamiltonian system depending upon the choice of the coupling parameters. While one…
Comment on `Supersymmetry, PT-symmetry and spectral bifurcation'
B. Bagchi, C. Quesne
We demonstrate that the recent paper by Abhinav and Panigrahi entitled `Supersymmetry, PT-symmetry and spectral bifurcation' [Ann.\ Phys.\ 325 (2010) 1198], which considers two dif…
Supersymmetry Across Nanoscale Heterojunction
B. Bagchi, A. Ganguly, A. Sinha
We argue that supersymmetric transformation could be applied across the heterojunction formed by joining of two mixed semiconductors. A general framework is described by specifying…
An update on PT-symmetric complexified Scarf II potential, spectral singularities and some remarks on the rationally-extended supersymmetric partners
B. Bagchi, C. Quesne
The -symmetric complexified Scarf II potential $V(x)= - V_1 \sech^{2}x + {\rm i} V_2 \sech x \tanh x$, , is revisited to study the interplay among it…
Isospectrality of conventional and new extended potentials, second-order supersymmetry and role of PT symmetry
B. Bagchi, C. Quesne, R. Roychoudhury
We develop a systematic approach to construct novel completely solvable rational potentials. Second-order supersymmetric quantum mechanics dictates the latter to be isospectral to…
PT-symmetric square well and the associated SUSY hierarchies
B. Bagchi, S. Mallik, C. Quesne
The PT-symmetric square well problem is considered in a SUSY framework. When the coupling strength lies below the critical value where PT symmetry becomes sp…
Pseudo-Hermiticity, weak pseudo-Hermiticity and eta-orthogonality condition
B. Bagchi, C. Quesne
We discuss certain features of pseudo-Hermiticity and weak pseudo-Hermiticity conditions and point out that, contrary to a recent claim, there is no inconsistency if the correct or…