论文标题
dunkl交织操作员在一个维度上的免费玻色子实现
Free boson realization of the Dunkl intertwining operator in one dimension
论文作者
论文摘要
$ \ mathbb {z} _2 $ - dunkl运算符和衍生物之间交织的操作员在一个维度上以振荡器运算符具有实现。这一观察结果基于以下事实：dunkl交织的操作员将赫米特多项式映射在广义的赫米特多项式上。
The operator that intertwines between the $\mathbb{Z}_2$ - 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.
