Commutative Quantum Operator Algebras

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dc.creatorLian, Bong H.
dc.creatorZuckerman, Gregg J.
dc.date1995-01-13
dc.date.accessioned2026-07-07T09:16:27Z
dc.date.available2026-07-07T09:16:27Z
dc.descriptionA key notion bridging the gap between {\it quantum operator algebras} \cite{LZ10} and {\it vertex operator algebras} \cite{Bor}\cite{FLM} is the definition of the commutativity of a pair of quantum operators (see section 2 below). This is not commutativity in any ordinary sense, but it is clearly the correct generalization to the quantum context. The main purpose of the current paper is to begin laying the foundations for a complete mathematical theory of {\it commutative quantum operator algebras.} We give proofs of most of the relevant results announced in \cite{LZ10}, and we carry out some calculations with sufficient detail to enable the interested reader to become proficient with the algebra of commuting quantum operators.
dc.description22 pages, Latex
dc.identifierhttps://arxiv.org/abs/q-alg/9501014
dc.identifierhttp://arxiv.org/abs/q-alg/9501014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153360
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.titleCommutative Quantum Operator Algebras
dc.typetext

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