关键词: 微分二次量子化,  广义算子, 白噪声分析

Abstract:

In this paper, the authors define the differential second quantization operator of any continuous linear operator from E_c to E_c*. A Fock expansion by using Schwartz kernel theorem is obtained. The differential second quantization operator of composition operator by using
tensor product is given.

Key words: Differential second quantization, Generalized operator, White noise analysis