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Involutions on the algebra of physical observables from reality conditions

AutorMena Marugán, Guillermo A.
Palabras clavePhysics education
Algebras
Fecha de publicación1996
EditorAmerican Institute of Physics
CitaciónJournal of Mathematical Physics 37: 196- 205 (1996)
ResumenSome 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.
URIhttp://hdl.handle.net/10261/102666
DOI10.1063/1.531383
Identificadoresdoi: 10.1063/1.531383
issn: 0022-2488
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