Generalized SU (2) covariant Wigner functions and some of their applications

2017/07/13 by A. B. Klimov, J. L. Romero, Hubert de Guise · 1 voice · 3 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Mathematical Analysis and Transform Methods #Quantum Mechanics and Non-Hermitian Physics

paper · doi:10.1088/1751-8121/50/32/323001

openalex publication_date 2017/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/26

Abstract

Abstract We survey some applications of SU (2) covariant maps to the phase space quantum mechanics of systems with fixed or variable spin. A generalization to SU (3) symmetry is also briefly discussed in framework of the axiomatic Stratonovich–Weyl formulation.

Citations

• Quantum and classical Liouville dynamics of the anharmonic oscillator
• Lie Groups, Lie Algebras, and Some of Their Applications
• Contracting the Wigner kernel of a spin to the Wigner kernel of a particle
• Quantum mechanics as a statistical theory

Cited by

• Wigner distributions for n arbitrary observables
• Quantum Machine Learning in Multi-Qubit Phase-Space Part I: Foundations
• Wigner function of noisy accelerated two-qubit system

Discussions

• (Sorry this is too long for a comment...) I don't see why entanglement disappears in the classical limit. Take for instance a system of very many spin-1/2 particles. The coherent state is the only sta [stackexchange, 7 points]

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