2003/10/29 by Alonso Botero, Botero, Alonso
Chemistry · Mathematics · Physics and Astronomy · #20G45 #Advanced NMR Techniques and Applications #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Group Theory (math.GR) #Mathematical Physics (math-ph) #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #Quantum Physics (quant-ph) #math-ph #math.DG #math.GR #math.MP #msc:20G45 #quant-ph
paper · pdf · doi:10.48550/arxiv.math-ph/0310065
9 Pages, RevTex 4, no figures. Corrected some typos and mistakes in equation referencing
openalex publication_date 2003/10/29 · arxiv created 2003/11/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A set of relations between the modulus and phase is derived for amplitudes of the form \mels\hatu(x) where U(x) ∈ SU(n) in the fundamental representation and x denotes the coordinates on the group manifold. An illustration is given for the case n=2 as well as a brief discussion of phase singularities and superoscillatory phase behavior for such amplitudes. The present results complement results obtained previously \citePMrel1 for amplitudes valued on the ray space \cal R = \mathbb CPn. The connection between the two is discussed.