Realization of the dynamical group for the generalized Laguerre functions

被引：0
|
作者：
Dong, SH
机构：
[1] Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Mexico City 04510, DF, Mexico
[2] Inst Mexicano Petr, Programade Ingn Mol, Mexico City 07730, DF, Mexico
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2004年 / 47卷 / 6-7期
关键词：
factorization method; ladder operators; SU (1,1) algebra; generalized Laguerre functions; matrix element;
D O I：
10.1016/S0898-1221(04)90084-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The ladder operators for the generalized Laguerre functions are constructed by a factorization method. It is shown that these ladder operators satisfy the commutation relations of an SU(1,1) algebra. The matrix elements of some operators x and 2x d/dx are analytically evaluated from these ladder operators. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1035 / 1039
页数：5
相关论文
共 50 条
  • [1] Dynamical System Identification with the Generalized Laguerre Functions
    Tuma, Martin
    Jura, Pavel
    2015 7TH INTERNATIONAL CONGRESS ON ULTRA MODERN TELECOMMUNICATIONS AND CONTROL SYSTEMS AND WORKSHOPS (ICUMT), 2015, : 220 - 225
  • [2] Generalized functions and Laguerre expansions
    Catuogno, Pedro
    Molina, Sandra
    Olivera, C.
    MONATSHEFTE FUR MATHEMATIK, 2017, 184 (01): : 51 - 75
  • [3] Generalized functions and Laguerre expansions
    Pedro Catuogno
    Sandra Molina
    C. Olivera
    Monatshefte für Mathematik, 2017, 184 : 51 - 75
  • [4] APPLICATIONS OF GENERALIZED LAGUERRE FUNCTIONS
    CLEMENT, PR
    MATHEMATICS AND COMPUTERS IN SIMULATION, 1985, 27 (5-6) : 541 - 550
  • [5] Laguerre moments and generalized functions
    Mizrahi, SS
    Galetti, D
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (15): : 3535 - 3546
  • [6] Coherent states for generalized Laguerre functions
    Jellal, A
    MODERN PHYSICS LETTERS A, 2002, 17 (11) : 671 - 682
  • [7] The generalized Laguerre inequalities and functions in the Laguerre-Plya class
    Csordas, George
    Vishnyakova, Anna
    CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2013, 11 (09): : 1643 - 1650
  • [8] Generalized q-Modified Laguerre Functions
    A. S. Hegazi
    M. Mansour
    International Journal of Theoretical Physics, 2002, 41 : 1803 - 1813
  • [9] SUMMABILITY OF LAGUERRE POLYNOMIAL EXPANSION OF GENERALIZED FUNCTIONS
    PATHAK, RS
    JOURNAL OF THE INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS, 1978, 21 (02): : 171 - 180
  • [10] Generalized q-modified Laguerre functions
    Hegazi, AS
    Mansour, M
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2002, 41 (09) : 1803 - 1813
12345