Representations of the Weyl group and Wigner functions for SU(3)

DOI10.1063/1.532911zbMath1063.81589arXivmath-ph/9811012OpenAlexW1971420447WikidataQ62585951 ScholiaQ62585951MaRDI QIDQ4270370

Barry C. Sanders, H. de Guise, D. J. Rowe

Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/math-ph/9811012

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (17)

Correspondence rules for Wigner functions over $SU(3)/U(2)$ ⋮ Algorithms for SU(n) boson realizations and D-functions ⋮ Nested \(T\)-duality ⋮ Coherent state realizations of su(n+1) on the n-torus ⋮ GeneralizedSU(2) covariant Wigner functions and some of their applications ⋮ Contracted Hamiltonian on symmetric space \(SU(3)/SU(2)\) and conserved quantities ⋮ Sum rules in multiphoton coincidence rates ⋮ Qutrit squeezing via semiclassical evolution ⋮ Parameter differentiation and quantum state decomposition for time varying Schrödinger equations ⋮ On biunimodular vectors for unitary matrices ⋮ Kenfack-Życzkowski indicator of nonclassicality for two non-equivalent representations of Wigner function of qutrit ⋮ SL (3, C ) generator matrix elements in a Pauli subgroup basis ⋮ Clebsch–Gordan coefficients of SU(3) in SU(2) and SO(3) bases ⋮ Immanants of unitary matrices and their submatrices ⋮ On the moduli space of Wigner quasiprobability distributions for \(N\)-dimensional quantum systems ⋮ The canonical coset decomposition of unitary matrices through Householder transformations ⋮ SU(3) Clebsch–Gordan coefficients and some of their symmetries

Cites Work

• On algebras which are connected with the semisimple continuous groups
• Boson Bogolyubov Transformation and theSU(1, 1) Group
• Branching rules and even-dimensional rotation groups SO_2k
• Canonical orthonormal basis for SU(3)⊃SO(3). I. Construction of the basis
• Unitary representations, branching rules and matrix elements for the non-compact symplectic groups
• Measuring the State of a Bosonic Two-Mode Quantum Field
• Bell’s theorem without inequalities
• Tensor Methods and a Unified Representation Theory of SU3
• Reduction of Representations of SUmn with respect to the Subgroup SUm ⊗ SUn
• Representations of finite U3 transformations
• The Boson Calculus for the Orthogonal and Symplectic Groups

This page was built for publication: Representations of the Weyl group and Wigner functions for SU(3)