Asymptotic limits of SU(2) and SU(3) Wigner functions
نویسندگان
چکیده
Asymptotic limits are given for the SU(2) Wigner functions D mn functions as j →∞ for three domains of m and n. Similar asymptotic limits are given for the SU(3) Wigner functions of an irrep with highest weight (λ, 0) as λ→∞. The results are shown to be relevant to the analysis of experiments with quantum interferometers. Résumé On donne les limites asymptotiques des fonctions de Wigner D mn de SU(2) pour j → ∞ et pour trois domaines de m et n. Des limites asymptotiques similaires sont données pour les fonctions de Wigner de SU(3) d’une représentation de plus haut poids (λ, 0) avec λ → ∞. On montre que les résultats sont pertinents pour l’analyse d’expériences d’interférométrie.
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