Non-classical behaviour of coherent states for systems constructed using exceptional orthogonal polynomials

SE Hoffmann, V Hussin, I Marquette… - Journal of Physics A …, 2018 - iopscience.iop.org
We construct the coherent states and Schrödinger cat states associated with new types of
ladder operators for a particular case of a rationally extended harmonic oscillator involving …

Ladder operators and squeezed coherent states of a three-dimensional generalized isotonic nonlinear oscillator

VC Ruby, S Karthiga… - Journal of Physics A …, 2012 - iopscience.iop.org
We explore squeezed coherent states of a three-dimensional generalized isotonic oscillator
whose radial part is the newly introduced generalized isotonic oscillator whose bound state …

An observation of quadratic algebra, dual family of nonlinear coherent states and their non-classical properties, in the generalized isotonic oscillator

VC Ruby, M Senthilvelan - Journal of mathematical physics, 2012 - pubs.aip.org
In this paper, we construct nonlinear coherent states for the generalized isotonic oscillator
and study their non-classical properties in detail. By transforming the deformed ladder …

Some theory and applications of 2N-dimensional canonical systems: periodic and nonperiodic

KR Acharya, A Ludu - Journal of Physics A: Mathematical and …, 2021 - iopscience.iop.org
In this paper, we study the 2N-dimensional canonical systems and their physical
applications. We first discuss some basic theory including proving the existence of solutions …

A report on the nonlinear squeezed states and their non-classical properties of a generalized isotonic oscillator

VC Ruby, M Senthilvelan - Journal of Physics A: Mathematical …, 2012 - iopscience.iop.org
We construct nonlinear squeezed states of a generalized isotonic oscillator potential. We
demonstrate the non-existence of a dual counterpart of nonlinear squeezed states in this …

Solvable potentials with exceptional orthogonal polynomials

A Arsenault, S Opps, N Saad - Annalen der Physik, 2016 - Wiley Online Library
Classes of solvable potentials are presented within an standard application of
supersymmetric quantum mechanics. Sets of exceptional orthogonal polynomials generated …

Photon modulated coherent states of a generalized isotonic oscillator by Weyl ordering and their non-classical properties

VC Ruby, M Senthilvelan - International Journal of Theoretical Physics, 2014 - Springer
We construct photon modulated coherent states of a generalized isotonic oscillator by
expanding the newly introduced superposed operator through Weyl ordering method. We …

2N-Dimensional Canonical Systems and Applications

KR Acharya, A Ludu - arXiv preprint arXiv:2006.03485, 2020 - arxiv.org
We study the 2N-dimensional canonical systems and discuss some properties of its
fundamental solution. We then discuss the Floquet theory of periodic canonical systems and …

2N-Dimensional Canonical Systems and Applications

A Ludu, KB Acharya - General Mathematics, 2020 - commons.erau.edu
We study the 2N-dimensional canonical systems and discuss some properties of its
fundamental solution. We then discuss the Floquet theory of periodic canonical systems and …

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P Jahanpeyma, D Afshar - sid.ir
We consider a countably infinite family of nonlinear oscillator potentials. First, using the
solutions of the corresponding Schrödinger equation, we construct ladder operators for …