THE SCHWINGER REPRESENTATION OF A GROUP: CONCEPT AND APPLICATIONS

DOI10.1142/S0129055X06002802zbMath1113.81086arXivquant-ph/0505012OpenAlexW2070237645MaRDI QIDQ3422243

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Publication date: 9 February 2007

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0505012

zbMATH Keywords

Wigner distributionSchwinger representationcompact semi-simple Lie groupsWigner-Weyl isomorphismmajorana representation for spinSchwinger oscillator construction

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (3)

Algorithms for SU(n) boson realizations and D-functions ⋮ Schwinger representation for the symmetric group:Two explicit constructions for the carrier space ⋮ Time evolution of coupled spin systems in a generalized Wigner representation

Cites Work

• An explicit model for the complex representations of \(S_ n\)
• A GENERALIZATION OF THE JORDAN-SCHWINGER MAP: THE CLASSICAL VERSION AND ITS q DEFORMATION
• Wigner–Weyl isomorphism for quantum mechanics on Lie groups
• On the SU2 unit tensor
• Indistinguishability for quantum particles: spin, statistics and the geometric phase
• The Schwinger SU(3) construction. I. Multiplicity problem and relation to induced representations
• SU (N) coherent states
• On the Representations of the Rotation Group

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