q-Oscillator Algebra And d-Orthogonal Polynomials

被引：0
|
作者：
Fethi Bouzeffour
Ali Zagouhani
机构：
[1] King Saud University,Department of Mathematics, College of Sciences
[2] Univertsité de Carthage,Département de Mathématiques, IPEI de Bizerte
来源：
Journal of Nonlinear Mathematical Physics | 2013年 / 20卷
关键词：
Coherent states; Quantum algebra; Basic orthogonal polynomials; 81R30; 81R60; 33D52;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we express the matrix coefficients of the Fock representation of a q-oscillator algebra in terms of the d-orthogonal Al-Salam Carlitz polynomials. Also, we derive a generating functions, recurrence relations and q-difference equations for these d-orthogonal polynomials.
引用
收藏
页码：480 / 494
页数：14
相关论文
共 50 条
  • [1] q-Oscillator Algebra And d-Orthogonal Polynomials
    Bouzeffour, Fethi
    Zagouhani, Ali
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2013, 20 (04) : 480 - 494
  • [2] AUTOMORPHISMS OF THE Q-OSCILLATOR ALGEBRA AND BASIC ORTHOGONAL POLYNOMIALS
    FLOREANINI, R
    VINET, L
    PHYSICS LETTERS A, 1993, 180 (06) : 393 - 401
  • [3] MORE ON THE Q-OSCILLATOR ALGEBRA AND Q-ORTHOGONAL POLYNOMIALS
    FLOREANINI, R
    LETOURNEUX, J
    VINET, L
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (10): : L287 - L293
  • [4] Cλ-Extended Oscillator Algebra and d-Orthogonal Polynomials
    Fethi Bouzeffour
    Wissem Jedidi
    International Journal of Theoretical Physics, 2021, 60 : 756 - 770
  • [5] Cλ-Extended Oscillator Algebra and d-Orthogonal Polynomials
    Bouzeffour, Fethi
    Jedidi, Wissem
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2021, 60 (03) : 756 - 770
  • [6] d-Orthogonal Charlier Polynomials and the Weyl Algebra
    Vinet, Luc
    Zhedanov, Alexei
    GROUP 28: PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRY: PROCEEDINGS OF THE 28TH INTERNATIONAL COLLOQUIUM ON GROUP-THEORETICAL METHODS IN PHYSICS, 2011, 284
  • [7] Deformed Heisenberg algebra with reflection and d-orthogonal polynomials
    Fethi Bouzeffour
    Hanen Ben Mansour
    Ali Zaghouani
    Czechoslovak Mathematical Journal, 2017, 67 : 57 - 71
  • [8] Deformed Heisenberg algebra with reflection and d-orthogonal polynomials
    Riyadh, Fethi Bouzeffour
    Ben Mansour, Hanen
    Zaghouani, Ali
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2017, 67 (01) : 57 - 71
  • [9] A General q-Oscillator Algebra
    L.C. Kwek
    C.H. Oh
    Letters in Mathematical Physics, 1998, 44 : 273 - 281
  • [10] On the representations of a Q-oscillator algebra
    Guichardet, A
    JOURNAL OF MATHEMATICAL PHYSICS, 1998, 39 (09) : 4965 - 4969
12345