MORE ON THE Q-OSCILLATOR ALGEBRA AND Q-ORTHOGONAL POLYNOMIALS

被引：63

作者：

FLOREANINI, R ^{[1
]}

LETOURNEUX, J ^{[1
]}

VINET, L ^{[1
]}

机构：

[1] UNIV MONTREAL,CTR RECH MATH,MONTREAL,PQ H3C 3J7,CANADA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1995年 / 28卷 / 10期

关键词：

D O I：

10.1088/0305-4470/28/10/002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Properties of certain q-orthogonal polynomials are connected to the q-oscillator algebra. The Wall and q-laguerre polynomials are shown to arise as matrix elements of q-exponentials of the generators in a representation of this algebra. A realization is presented where the continuous q-Hermite polynomials form a basis of the representation space. Various identities are interpreted within this model. In particular, the connection formula between the continuous big q-Hermite and the continuous q-Hermite polynomials is thus obtained, and two generating functions for these last polynomials are derived algebraically.

引用

页码：L287 / L293

页数：7

共 22 条

[1] DIFFERENCE ANALOGS OF THE HARMONIC-OSCILLATOR [J].