On a Jordan-algebraic formulation of quantum mechanics: Hilbert space construction

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dc.creatorBischoff, Wolfgang
dc.date1993-04-26
dc.date.accessioned2026-07-07T04:19:23Z
dc.date.available2026-07-07T04:19:23Z
dc.descriptionIn this note I discuss some aspects of a formulation of quantum mechanics based entirely on the Jordan algebra of observables. After reviewing some facts of the formulation in the \CS -approach I present a Jordan-algebraic Hilbert space construction (inspired by the usual GNS-construction), thereby obtaining a real Hilbert space and a (Jordan-) representation of the algebra of observables on this space. Taking the usual case as a guideline I subsequently derive a Schrödinger equation on this Hilbert space.
dc.description12pages, latex, THEP 93/7
dc.identifierhttps://arxiv.org/abs/hep-th/9304124
dc.identifierhttp://arxiv.org/abs/hep-th/9304124
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53530
dc.subjectHigh Energy Physics - Theory
dc.titleOn a Jordan-algebraic formulation of quantum mechanics: Hilbert space construction
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