Quantum mechanics on Riemannian Manifold in Schwinger's Quantization approach III

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dc.creatorChepilko, N.
dc.creatorRomanenko, A.
dc.date2001-02-19
dc.date.accessioned2026-07-07T12:26:42Z
dc.date.available2026-07-07T12:26:42Z
dc.descriptionUsing extended Schwinger's quantization approach quantum mechanics on a Riemannian manifold $M$ with a given action of an intransitive group of isometries is developed. It was shown that quantum mechanics can be determined unequivocally only on submanifolds of $M$ where $G$ acts simply transitively (orbits of $G$-action). The remaining part of degrees of freedom can be described unequivocally after introducing some additional assumptions. Being logically unmotivated, these assumptions are similar to canonical quantization postulates. Besides this ambiguity that has a geometrical nature there is undetermined gauge field of $\hbar$ (or higher) order, vanishing in the classical limit $\hbar\to 0$.
dc.description21 pages, no figures, LaTeX
dc.identifierhttps://arxiv.org/abs/hep-th/0102117
dc.identifierhttp://arxiv.org/abs/hep-th/0102117
dc.identifierEur.Phys.J.C21:757-767,2001
dc.identifierdoi:10.1007/s100520100711
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214966
dc.subjectHigh Energy Physics - Theory
dc.titleQuantum mechanics on Riemannian Manifold in Schwinger's Quantization approach III
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