Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.14365/1061
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dc.contributor.authorBlaszak, Maciej-
dc.contributor.authorDomanski, Ziemowit-
dc.contributor.authorSilindir, Burcu-
dc.date.accessioned2023-06-16T12:58:54Z-
dc.date.available2023-06-16T12:58:54Z-
dc.date.issued2014-
dc.identifier.issn0003-4916-
dc.identifier.issn1096-035X-
dc.identifier.urihttps://doi.org/10.1016/j.aop.2014.08.015-
dc.identifier.urihttps://hdl.handle.net/20.500.14365/1061-
dc.description.abstractIn this paper, we consider the problem of quantization of classical Stackel systems and the problem of separability of related quantum Hamiltonians. First, using the concept of Stackel transform, natural Hamiltonian systems from a given Riemann space are expressed by some flat coordinates of related Euclidean configuration space. Then, the so-called flat minimal quantization procedure is applied in order to construct an appropriate Hermitian operator in the respective Hilbert space. Finally, we distinguish a class of Stackel systems which remains separable after any of admissible flat minimal quantizations. (C) 2014 Elsevier Inc. All rights reserved.en_US
dc.description.sponsorshipScientific and Technical Research Council of Turkey (TUBITAK)en_US
dc.description.sponsorshipThis work is partially supported by the Scientific and Technical Research Council of Turkey (TUBITAK), 2221-Fellowships for Visiting Scientists and Scientists on Sabbatical Leave Programme.en_US
dc.language.isoenen_US
dc.publisherAcademic Press Inc Elsevier Scienceen_US
dc.relation.ispartofAnnals of Physıcsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectStackel systemen_US
dc.subjectStackel transformen_US
dc.subjectMinimal quantizationen_US
dc.subjectQuantum separabilityen_US
dc.subjectHamilton-Jacobi Equationen_US
dc.subjectMultiplicative Separationen_US
dc.subjectSchrodinger-Equationen_US
dc.subjectAdditive Separationen_US
dc.subjectDeformation-Theoryen_US
dc.subjectConnectionen_US
dc.titleFlat minimal quantizations of Stackel systems and quantum separabilityen_US
dc.typeArticleen_US
dc.identifier.doi10.1016/j.aop.2014.08.015-
dc.departmentİzmir Ekonomi Üniversitesien_US
dc.authoridDoma?ski, Ziemowit/0000-0001-8943-0063-
dc.authoridBlaszak, Maciej/0000-0002-3951-2850-
dc.authorwosidDoma?ski, Ziemowit/M-7512-2015-
dc.identifier.volume351en_US
dc.identifier.startpage152en_US
dc.identifier.endpage165en_US
dc.identifier.wosWOS:000346451900011en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ2-
dc.identifier.wosqualityQ2-
item.grantfulltextopen-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.fulltextWith Fulltext-
item.languageiso639-1en-
crisitem.author.dept02.02. Mathematics-
Appears in Collections:WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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