Quantum mechanics on Riemannian Manifold in Schwinger's Quantization Approach II

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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.descriptionExtended Schwinger's quantization procedure is used for constructing quantum mechanics on a manifold with a group structure. The considered manifold $M$ is a homogeneous Riemannian space with the given action of isometry transformation group. Using the identification of $M$ with the quotient space $G/H$, where $H$ is the isotropy group of an arbitrary fixed point of $M$, we show that quantum mechanics on $G/H$ possesses a gauge structure, described by the gauge potential that is the connection 1-form of the principal fiber bundle $G(G/H, H)$. The coordinate representation of quantum mechanics and the procedure for selecting the physical sector of states are developed.
dc.description18pages, no figures, LaTeX
dc.identifierhttps://arxiv.org/abs/hep-th/0102115
dc.identifierhttp://arxiv.org/abs/hep-th/0102115
dc.identifierEur.Phys.J.C21:587-595,2001
dc.identifierdoi:10.1007/s100520100713
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214964
dc.subjectHigh Energy Physics - Theory
dc.titleQuantum mechanics on Riemannian Manifold in Schwinger's Quantization Approach II
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