1998/11/14 by D.J. Rowe, D. J. Rowe, Barry C. Sanders +3 · 2 citations
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Molecular spectroscopy and chirality #Quantum Information and Cryptography #Quantum optics and atomic interactions #math-ph #math.MP #math.RT #msc:22E70 #msc:81R05
paper · pdf · doi:10.1063/1.532911
: RevTex file, 11 pages with 2 figures
arxiv created 1998/11/14 · openalex publication_date 1999/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Bases for SU(3) irreps are constructed on a space of three-particle tensor products of two-dimensional harmonic oscillator wave functions. The Weyl group is represented as the symmetric group of permutations of the particle coordinates of these spaces. Wigner functions for SU(3) are expressed as products of SU(2) Wigner functions and matrix elements of Weyl transformations. The constructions make explicit use of dual reductive pairs which are shown to be particularly relevant to problems in optics and quantum interferometry.