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20242026
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quant-ph2026

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…

quant-ph2026

Twin Hamiltonians, three types of the Dyson maps, and the probabilistic interpretation problem in quasi-Hermitian quantum mechanics

Aritra Ghosh, Adam Miranowicz, Miloslav Znojil

In the framework of the so-called quasi-Hermitian quantum mechanics of stationary unitary systems, bound states are usually constructed as eigenstates of a Hamilton…

quant-ph2025

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…

quant-ph2025

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…

quant-ph2025

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…

quant-ph2025

Pseudo-Hermitian extensions of the harmonic and isotonic oscillators

Aritra Ghosh, Akash Sinha

In this work, we describe certain pseudo-Hermitian extensions of the harmonic and isotonic oscillators, both of which are exactly-solvable models in quantum mechanics. By coupling…