# Schr\"odinger model and Stratonovich-Weyl correspondence for Heisenberg motion groups

## TL;DR

This paper develops a Schr"odinger model for Heisenberg motion groups and demonstrates that Weyl quantization yields a Stratonovich-Weyl correspondence, linking representation theory with phase space quantization.

## Contribution

It introduces a Schr"odinger model for representations of Heisenberg motion groups and establishes a Stratonovich-Weyl correspondence via Weyl quantization.

## Key findings

- Established a Schr"odinger model for the representations.
- Connected Weyl quantization with Stratonovich-Weyl correspondence.
- Provided a new framework linking group representations and phase space methods.

## Abstract

We introduce a Schr\"odinger model for the unitary irreducible representations of a Heisenberg motion group and we show that the usual Weyl quantization then provides a Stratonovich-Weyl correspondence.