The Extended Dunkl Oscillator and the Generalized Hermite Polynomials on the Radial Lines

Model of the extended Dunkl oscillator based on Milovanović generalized Hermite polynomials on radial rays is discussed. Simple explicit realization of creation and annihilation operators in terms of difference-differential operators, coherent states are investigated.

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Publication Details

Journal
Journal of Nonlinear Mathematical Physics
Published
2024-09-02
DOI
https://doi.org/10.1007/s44198-024-00224-x
Citations
5
Primary Topic
Quantum Mechanics and Non-Hermitian Physics
Type
article
Field-Weighted Citation Impact
1.69

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article

The Extended Dunkl Oscillator and the Generalized Hermite Polynomials on the Radial Lines

Fethi Bouzeffour
5 citations
Journal of Nonlinear Mathematical Physics
Quantum Mechanics and Non-Hermitian Physics
1.69
article

The Extended Dunkl Oscillator and the Generalized Hermite Polynomials on the Radial Lines

Fethi Bouzeffour
article en
5 citations

Abstract

Model of the extended Dunkl oscillator based on Milovanović generalized Hermite polynomials on radial rays is discussed. Simple explicit realization of creation and annihilation operators in terms of difference-differential operators, coherent states are investigated.

Journal of Nonlinear Mathematical PhysicsVol. 31(1)
King Saud University (SA)
King Saud University
Openalex Percentile: Top 16%
Quantum Mechanics and Non-Hermitian Physics
1.69
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The Extended Dunkl Oscillator and the Generalized Hermite Polynomials on the Radial Lines — Fethi Bouzeffour · Journal of Nonlinear Mathematical Physics (2024) | TGRS Research Map | TGRS