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19972026
most citedGeneralized Continuity Equation and Modified Normalization in PT-Symmetric Quantum Mechanics

141 citations · 693 across the 30 of their papers we have counts for

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Showing 2024Show all

7 papers · 1 filter

quant-ph2024★ 2 cited

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…

nlin.SI2024

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…

gr-qc2024★ 15 cited

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…

gr-qc2024★ 3 cited

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…

quant-ph2024

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…

math-ph2024★ 5 cited

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…

quant-ph2024★ 7 cited

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…