Coherent and squeezed states: Introductory review of basic notions, properties, and generalizations

O Rosas-Ortiz - Integrability, Supersymmetry and Coherent States: A …, 2019 - Springer
A short review of the main properties of coherent and squeezed states is given in the
introductory form. The efforts are addressed to clarify concepts and notions, including some …

[HTML][HTML] An inclusive SUSY approach to position dependent mass systems

S Karthiga, VC Ruby, M Senthilvelan - Physics Letters A, 2018 - Elsevier
The supersymmetry (SUSY) formalism for a position dependent mass problem with a more
general ordering is yet to be formulated. In this paper, we present an unified SUSY approach …

New SU (1, 1) Position-Dependent Effective Mass Coherent States for the Generalized Shifted Harmonic Oscillator

SA Yahiaoui, M Bentaiba - arXiv preprint arXiv:1306.0197, 2013 - arxiv.org
A new SU (1, 1) position-dependent effective mass coherent states (PDEM CS) related to the
shifted harmonic oscillator (SHO) are deduced. This is accomplished by applying a similarity …

[PDF][PDF] Duality-induced rational extensions of the isotonic oscillator

JF Carinena, L Inzunza… - arXiv preprint arXiv …, 2017 - researchgate.net
We study the problem of construction of rationally extended quantum isotonic oscillator
systems of a general form and a related issue of finding the complete sets of ladder …

On the ladder operators and nonclassicality of generalized coherent state associated with a particle in an infinite square well

HR Jalali, MK Tavassoly - Optics Communications, 2013 - Elsevier
In this paper the factorization method is used in order to obtain the eigenvalues and
eigenfunctions of a quantum particle confined in a one-dimensional infinite well. The output …

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 …

Strichartz Estimates for the Affine Metaplectic Representations for All Squeezed Coherent States

A Cauli - Available at SSRN 4919676 - papers.ssrn.com
We deal with Strichartz estimates for the affine metaplectic representations consisting of the
multiplication of the canonical representations with some coherent states that are …

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 …

Nonlinear time evolution of coherent states with observation of super revivals in a generalized isotonic oscillator

V Chithiika Ruby, P Muruganandam… - International Journal of …, 2014 - World Scientific
In this paper, we investigate revival and super revivals of nonlinear coherent states while
generating these states through the interaction of coherent states of a generalized isotonic …

[引用][C] STRICHARTZ ESTIMATES FOR THE AFFINE METAPLECTIC REPRESENTATIONS FOR ALL SQUEEZED COHERENT STATES

FM GASPARINI