On Quantum Mechanics in Friedmann-Robertson-Walker Universe

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dc.creatorTagirov, E. A.
dc.date2000-11-03
dc.date.accessioned2026-07-07T03:25:22Z
dc.date.available2026-07-07T03:25:22Z
dc.descriptionIt is shown that only in the space-times admitting a 1+3-foliation by flat Cauchy hypesurfaces (i.e., in the Bianchi I type space-times the isotropic version of which the spatially flat Friedmann-Robertson-Walker space-times are) the canonical quantization of geodesic motion and quantum-mechanics obtained as an asymptotics of the quantum theory of scalar field lead to the same canonical commutation relations (CCR). Otherwise, the field-theoretical approach leads to a deformation of CCR (particularly, operators of coordinates do not commute), and the Principle of Correspondence is broken in a sense. Thus, the spatially flat cosmology is distinguished intrinsically in the quantum theory.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/gr-qc/0011011
dc.identifierhttp://arxiv.org/abs/gr-qc/0011011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33682
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleOn Quantum Mechanics in Friedmann-Robertson-Walker Universe
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