Schrödinger model and Stratonovich-Weyl correspondence for Heisenberg motion groups

Abstract

We introduce a Schrödinger 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.

arXiv commentSome misprints in the published version have been corrected

References in corpus (4)

• Quantization Methods: A Guide for Physicists and Analysts
• Phase-space formulation of quantum mechanics and quantum state reconstruction for physical systems with Lie-group symmetries
• POVM Quantization
• A geometric quantization of the Kostant-Sekiguchi correpondence for scalar type unitary highest weight representations

Cited by in corpus (1)

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