This article is concerned with compositions in the context of three standard quantizations in the framework of Fock spaces, namely, anti-Wick, Wick and Weyl quantizations. The first one is a composition of states also known as a Wick product and is closely related to the standard scattering identification operator encountered in Quantum Electrodynamics for issues on time dynamics (see [ 29 , 13 ]). Anti-Wick quantization and Segal–Bargmann transforms are implied here for that purpose. The other compositions are for observables (operators in some specific classes) for the Wick and Weyl symbols. For the Wick and Weyl symbols of the composition of two operators, we obtain an absolutely converging series and for the Weyl symbol, the remainder terms up to any orders of the expansion are controlled, still in the Fock space framework.

中文翻译：

---

Fock 空间中状态和可观察量的组合

本文关注 Fock 空间框架内的三个标准量化上下文中的组合，即反 Wick、Wick 和 Weyl 量化。第一个是状态的组合，也称为 Wick 积，与量子电动力学中针对时间动力学问题遇到的标准散射识别算子密切相关（参见 [29, 13]）。为此目的，此处隐含了反威克量化和 Segal-Bargmann 变换。其他组合用于 Wick 和 Weyl 符号的 observables（某些特定类别中的运算符）。对于由两个算子组成的 Wick 和 Weyl 符号，我们得到一个绝对收敛的级数，对于 Weyl 符号，直到展开的任意阶的余项都受到控制，仍然在 Fock 空间框架中。