Wick ordering for coherent state quantization in 1+1 de Sitter space

TL;DR

This paper demonstrates a specific ordering property in the coherent state quantization of massive particles in 1+1 de Sitter space, revealing how classical observables translate into quantum operators.

Contribution

It introduces an ordering property in the coherent state quantization framework for 1+1 de Sitter space, highlighting a new algebraic structure of quantum observables.

Findings

Existence of classical observables with specific ordering properties

Demonstration of the algebraic relation $O_{A^{*p}}O_{A^q}=O_{A^{*p} A^q}$

Insights into the structure of quantum observables in de Sitter space

Abstract

We show that the coherent state quantization of massive particles in 1+1 de Sitter space exhibits an ordering property: There exist some classical observables $A$ and $A^*$ such that $O_{A^{*p}}O_{A^q}=O_{A^{*p} A^q}$ $p, q \in \Z$, where $O_A$ is the quantum observable corresponding to the classical observable $A$.