Free boson realization of the Dunkl intertwining operator in one dimension

被引：3
|
作者：
Vinet, Luc [1 ,2 ]
Zhedanov, Alexei [3 ]
机构：
[1] Univ Montreal, Ctr Rech Math, POB 6128,Ctr Ville Stn, Montreal, PQ H3C 3J7, Canada
[2] Inst Valorisat Donnees IVADO, Montreal, PQ H2S 3H1, Canada
[3] Renmin Univ China, Sch Math, Beijing 100872, Peoples R China
来源：
REVIEWS IN MATHEMATICAL PHYSICS | 2022年 / 34卷 / 08期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Dunkl intertwining operator; boson realization; generalized Hermite polynomials;
D O I：
10.1142/S0129055X22500258
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The operator that intertwines between the Z(2)-Dunkl operator and the derivative is shown to have a realization in terms of the oscillator operators in one dimension. This observation rests on the fact that the Dunkl intertwining operator maps the Hermite polynomials on the generalized Hermite polynomials.
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页数：12
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