Geometric phase and modulus relations for SU(n) matrix elements in the defining representation

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dc.creatorBotero, Alonso
dc.date2003-10-29
dc.date2003-11-18
dc.date.accessioned2026-07-07T04:30:41Z
dc.date.available2026-07-07T04:30:41Z
dc.descriptionA set of relations between the modulus and phase is derived for amplitudes of the form $\mels{\hatu(x)}$ where $\hat{U}(x) \in SU(n)$ 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 \cite{PMrel1} for amplitudes valued on the ray space ${\cal R} = {\mathbb C}P^n$. The connection between the two is discussed.
dc.description9 Pages, RevTex 4, no figures. Corrected some typos and mistakes in equation referencing
dc.identifierhttps://arxiv.org/abs/math-ph/0310065
dc.identifierhttp://arxiv.org/abs/math-ph/0310065
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57548
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subjectGroup Theory
dc.subjectQuantum Physics
dc.subject20G45
dc.titleGeometric phase and modulus relations for SU(n) matrix elements in the defining representation
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