Operator algebras associated with the Klein-Gordon position representation in relativistic quantum mechanics

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dc.creatorWeaver, Nik
dc.date2002-09-07
dc.date.accessioned2026-07-07T04:50:41Z
dc.date.available2026-07-07T04:50:41Z
dc.descriptionWe initiate a mathematically rigorous study of Klein-Gordon position operators in single-particle relativistic quantum mechanics. Although not self-adjoint, these operators have real spectrum and enjoy a limited form of spectral decomposition. The associated C*-algebras are identifiable as crossed products. We also introduce a variety of non self-adjoint operator algebras associated with the Klein-Gordon position representation; these algebras are commutative and continuously (but not homeomorphically) embeddable in corresponding function algebras. Several open problems are indicated.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0209079
dc.identifierhttp://arxiv.org/abs/math/0209079
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64878
dc.subjectOperator Algebras
dc.subjectMathematical Physics
dc.subjectFunctional Analysis
dc.subject47L30, 47L15; 81R15, 47L90, 46L52, 46J99
dc.titleOperator algebras associated with the Klein-Gordon position representation in relativistic quantum mechanics
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