A q-deformed e(4) and continuous q-Jacobi polynomials

被引:2
|
作者
Floreanini, R
LeTourneux, J
Vinet, L
机构
[1] UNIV MONTREAL,CTR RECH MATH,MONTREAL,PQ H3C 3J7,CANADA
[2] UNIV MONTREAL,DEPT PHYS,MONTREAL,PQ H3C 3J7,CANADA
关键词
D O I
10.1063/1.531621
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present an algebraic interpretation of the continuous q-Jacobi polynomials. They are shown to realize a basis for a representation space of a q deformation of the four-dimensional Euclidean algebra e(4). A q analog of the expansion of an exponential in Jacobi polynomials is naturally obtained from this model. (C) 1996 American Institute of Physics.
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页码:4135 / 4149
页数:15
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