Yet Another Face of the Creation Operator
Yet Another Face of the Creation Operator
复制标题
创造运营商的另一面
DOI：
10.1007/978-3-0348-9106-6_16
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发表时间：
1995
期刊：
影响因子：
--
通讯作者：
F. H. Szafraniec
中科院分区：
文献类型：
--
作者：
F. H. Szafraniec
如果我们把创造算子定义为一个抽象的加权移位，那么这个算子就表现为它的一个面（读作：酉像），而在Segal-Bargmann空间中乘自变量的算子则表现为另一个面。在[11]中记录了一个有限差分算子。它可以被认为是创造的另一面。我们在这里的目的是通过详细考虑该案例来引起对该操作员的关注。
If one defines the creation operator as an abstract weighted shift of weights, then the operatorappears as a face (read: unitary image) of it while the operator of multiplication by the independent variable in the Segal-Bargmann space does as another. In [11] a finite difference operatorwas recorded. It may be considered as yet another face of the creation one. Our intension here is to invite attention to this operator by considering the case in detail.