Generalized complex Hermite polynomials with associated nonlinear coherent states-Reference-Cited by-同舟云学术

Generalized complex Hermite polynomials with associated nonlinear coherent states

Published:2024-07-01 Issue:7 Volume:65 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Ahbli Khalid¹^ORCID,El Wassouli Fouzia²^ORCID,Mouayn Zouhaïr³⁴⁵^ORCID

Affiliation:

1. Moroccan Association of Harmonic Analysis and Spectral Geometry 1 , Rabat, Morocco

2. Department of Mathematics, Faculty of Sciences, Hassan II University 2 , Casablanca, Morocco

3. Department of Mathematics, Faculty of Sciences and Technics (M’Ghila), Sultan Moulay Slimane University 3 , P.O. Box. 523, Béni Mellal, Morocco

4. Institut des Hautes Études Scientifiques Paris-Saclay University 4 , 35 route de Chartres, CS 40001 91893 Bures-sur-Yvette, France

5. Institut Henri Poincaré—UAR 839 Sorbonne University, CNRS 5 , 75231 Paris Cedex 05, France

Abstract

While dealing with a class of generalized complex Hermite polynomials, we discuss some of their basic properties and we give operational formulae of Burchnall-type. New results, including a Nielsen identity, a generating function and a Runge addition formula are derived. These polynomials may also be used to define a set of nonlinear coherent states for the harmonic oscillator. They may also be viewed as eigenfunctions of a Landau-type operator.

Funder

Institut Henri Poincaré

LabEx CARMIN

Institut des Hautes Études Scientifiques, Université Paris-Saclay

Publisher

AIP Publishing

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0194370/20077367/073505_1_5.0194370.pdf

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