Contracting the Wigner kernel of a spin to the Wigner kernel of a particle

2000/12/05 by Jean-Pierre Amiet, Stefan Weigert · 2 citations
Chemistry · Physics and Astronomy · #Mechanical and Optical Resonators #Molecular spectroscopy and chirality #Quantum Mechanics and Applications

paper · doi:10.1103/physreva.63.012102

openalex publication_date 2000/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

A general relation between the Moyal formalisms for a spin and a particle is established. Once the formalism has been set up for a spin, the phase-space description of a particle is obtained from contracting the group of rotations to the oscillator group. In this process, turn into a spin Wigner kernel turns into the Wigner kernel of a particle. In fact, only one out of 2^2s different possible kernels for a spin shows this behavior.

Cited by

• Generalized SU (2) covariant Wigner functions and some of their applications
• Non-Gaussianity from Superselection Rules

Related

• The Wigner Kernel of a Particle obtained from the Wigner Kernel of a Spin by Group Theoretical Contraction
• On the kinematics of the last Wigner particle
• Is a particle an irreducible representation of the Poincaré group?
• Spin-Particle Connections
• Introducing spin to classical phase space