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Involutions on the algebra of physical observables from reality conditions

AuthorsMena Marugán, Guillermo A.
KeywordsPhysics education
Issue Date1996
PublisherAmerican Institute of Physics
CitationJournal of Mathematical Physics 37: 196- 205 (1996)
AbstractSome aspects of the algebraic quantization program proposed by Ashtekar are revisited in this article. It is proven that, for systems with first-class constraints, the involution introduced on the algebra of quantum operators via reality conditions can never be projected unambiguously to the algebra of physical observables, i.e., of quantum observables modulo constraints. It is nevertheless shown that, under sufficiently general assumptions, one can still induce an involution on the algebra of physical observables from reality conditions, though the involution obtained depends on the choice of particular representatives for the equivalence classes of quantum observables. © 1996 American Institute of Physics.
Identifiersdoi: 10.1063/1.531383
issn: 0022-2488
Appears in Collections:(CFMAC-IFF) Artículos
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