On localization and position operators in Moebius-covariant theories

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dc.creatorPinamonti, Nicola
dc.date2006-10-25
dc.date2007-03-27
dc.date.accessioned2026-07-07T10:42:37Z
dc.date.available2026-07-07T10:42:37Z
dc.descriptionSome years ago it was shown that, in some cases, a notion of locality can arise from the group of symmetry enjoyed by the theory, thus in an intrinsic way. In particular, when Moebius covariance is present, it is possible to associate some particular transformations to the Tomita Takesaki modular operator and conjugation of a specific interval of an abstract circle. In this context we propose a way to define an operator representing the coordinate conjugated with the modular transformations. Remarkably this coordinate turns out to be compatible with the abstract notion of locality. Finally a concrete example concerning a quantum particle on a line is also given.
dc.description19 pages, UTM 705, version to appear in RMP
dc.identifierhttps://arxiv.org/abs/math-ph/0610070
dc.identifierhttp://arxiv.org/abs/math-ph/0610070
dc.identifierRev.Math.Phys.19:385-404,2007
dc.identifierdoi:10.1142/S0129055X07003024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182010
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleOn localization and position operators in Moebius-covariant theories
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