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dc.contributor.authorDragović, Brankoen
dc.contributor.authorRakić, Zoranen
dc.date.accessioned2020-12-11T13:04:47Z-
dc.date.available2020-12-11T13:04:47Z-
dc.date.issued2009-10-22en
dc.identifier.issn00815438en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/4470-
dc.description.abstractClassical and quantum mechanics based on an extended Heisenberg algebra with additional canonical commutation relations for position and momentum coordinates are considered. In this approach additional noncommutativity is removed from the algebra by a linear transformation of coordinates and transferred to the Hamiltonian (Lagrangian). This linear transformation does not change the quadratic form of the Hamiltonian (Lagrangian), and Feynman's path integral preserves its exact expression for quadratic models. The compact general formalism presented here can be easily illustrated in any particular quadratic case. As an important result of phenomenological interest, we give the path integral for a charged particle in the noncommutative plane with a perpendicular magnetic field. We also present an effective Planck constant h{stroke}eff which depends on additional noncommutativity. © Pleiades Publishing, Ltd., 2009.en
dc.relation.ispartofProceedings of the Steklov Institute of Mathematicsen
dc.titleNoncommutative classical and quantum mechanics for quadratic Lagrangians (Hamiltonians)en
dc.typeArticleen
dc.identifier.doi10.1134/S0081543809020072en
dc.identifier.scopus2-s2.0-70350046253en
dc.identifier.urlhttps://api.elsevier.com/content/abstract/scopus_id/70350046253en
dc.relation.firstpage82en
dc.relation.lastpage91en
dc.contributor.orcid#NODATA#en
dc.contributor.orcid#NODATA#en
dc.relation.issue1en
dc.relation.volume265en
item.cerifentitytypePublications-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypeArticle-
item.grantfulltextnone-
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