Deformed Heisenberg algebra with reflection and d-orthogonal polynomials

Title:

Deformed Heisenberg algebra with reflection and d-orthogonal polynomials

Creator:

Bouzeffour, Fethi, Mansour, Hanen Ben, and Zaghouani, Ali

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:e1804ffa-c26a-4e58-824f-a867f7b95d42
uuid:e1804ffa-c26a-4e58-824f-a867f7b95d42
issn:0011-4642

Subject:

matematika, mathematics, d-ortogonální polynomy, koherentní stav, hypergeometrické funkce, Meixnerovy polynomy, d-orthogonal polynomials, matrix element, coherent state, hypergeometric functions, Meixner polynomials, d-dimensional linear functional vector, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

This paper is devoted to the study of matrix elements of irreducible representations of the enveloping deformed Heisenberg algebra with reflection, motivated by recurrence relations satisfied by hypergeometric functions. It is shown that the matrix elements of a suitable operator given as a product of exponential functions are expressed in terms of d-orthogonal polynomials, which are reduced to the orthogonal Meixner polynomials when d = 1. The underlying algebraic framework allowed a systematic derivation of the recurrence relations, difference equation, lowering and rising operators and generating functions which these polynomials satisfy., Fethi Bouzeffour, Hanen Ben Mansour, Ali Zaghouani., and Obsahuje bibliografii

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

57-71

Source:

Czechoslovak Mathematical Journal | 2017 Volume:67 | Number:1

Harvested from:

CDK

Metadata only:

false