Hopf Structure for the q-Lévy-Meixner Oscillator Algebra-Reference-Cited by-同舟云学术

Hopf Structure for the q-Lévy-Meixner Oscillator Algebra

Published:2023-03 Issue:01 Volume:30 Page:
ISSN:1230-1612
Container-title:Open Systems & Information Dynamics
language:en
Short-container-title:Open Syst. Inf. Dyn.

Author:

Riahi Anis¹²,Rebei Habib³,Ettaieb Amine⁴,Alhussain Ziyad Ali¹,Elmonser Hedi Ben¹⁵

Affiliation:

1. Department of Mathematics, College of Science Al-Zulfi, Majmaah University, P.O.Box 66, Al-Majmaah 11952, Saudi Arabia

2. Department of Mathematics, Nabeul Preparatory Institute for Engineering Studies, Carthage University, Nabeul, Tunisia

3. Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraidah 51452, Saudi Arabia

4. Department of Mathematics, Higher School of Sciences and Technologies of Hammam-Sousse, MaPSFA laboratory, Sousse University, 4011, Hammam Sousse, Tunisia

5. Department of Mathematics, National Institute of applied Sciences and Technology, Carthage University, Tunis, Tunisia

Abstract

The main purpose of this paper is to investigate a generalized oscillator algebra, naturally associated with the [Formula: see text]-Lévy-Meixner polynomials. We solve the problem of the Hopf algebraic structure for the [Formula: see text]-deformed Lévy-Meixner oscillator algebra based on the one-parameter deformation of canonical commutation relations.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S123016122350004X

Reference26 articles.

1. Interacting Fock Spaces and Gaussianization of Probability Measures

2. WHITE NOISE LÉVY–MEIXNER PROCESSES THROUGH A TRANSFER PRINCIPAL FROM ONE-MODE TO ONE-MODE TYPE INTERACTING FOCK SPACES

3. HILBERT SPACE OF ANALYTIC FUNCTIONS ASSOCIATED WITH THE MODIFIED BESSEL FUNCTION AND RELATED ORTHOGONAL POLYNOMIALS

4. N. Asai , Analytic characterization of one-mode interacting Fock space, Infinite Dimensional Analysis, Quantum Probability and Related Topics. 4 (2001), pp. 409–415.

5. Riesz potentials derived by one-mode interacting Fock space approach