On Ordering of Operators in Canonical Quantization in Curved Space

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dc.creatorTagirov, E. A.
dc.date2001-01-03
dc.date.accessioned2026-07-07T06:01:27Z
dc.date.available2026-07-07T06:01:27Z
dc.descriptionAmbiguities arising in different approaches (canonical, quasiclassical, path integration) to quantization are discussed by an example of the mechanics of a point-like particle in the Riemannian space (the geodesic dynamics). A way to select a single rule of quantization is proposed by requirement of a consistency of the quantum mechanics' following from the canonical and quasiclassical approaches. This rule selects also a definition of the path integration. A geometric interpretation of the noncovariance of the canonical Hamilton operator of a particle with respect to the diffeomorphisms of the Riemannian configuration space is proposed.
dc.description11 pages, LaTex 2.09-file; a talk at the 23th Symposium on Group-Theoretical Methods in Physics, Dubna, July 2000
dc.identifierhttps://arxiv.org/abs/quant-ph/0101016
dc.identifierhttp://arxiv.org/abs/quant-ph/0101016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89264
dc.subjectQuantum Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.titleOn Ordering of Operators in Canonical Quantization in Curved Space
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