Weyl calculus on the Fock space and Stratonovich-Weyl correspondence for Heisenberg motion groups

TL;DR

This paper develops a Stratonovich-Weyl correspondence for representations of Heisenberg motion groups utilizing Weyl calculus on the Fock space, bridging harmonic analysis and quantum mechanics.

Contribution

It introduces a novel construction of the Stratonovich-Weyl correspondence for Heisenberg motion groups via Weyl calculus on the Fock space, expanding the mathematical framework.

Findings

Established a new Stratonovich-Weyl correspondence for Heisenberg motion groups.

Connected Weyl calculus on Fock space with harmonic analysis of group representations.

Provided a mathematical foundation for potential applications in quantum physics.

Abstract

We construct a Stratonovich-Weyl correspondence for each generic representation of a Heisenberg motion group by using the Weyl calculus on the Fock space.