Factorization method for Schrodinger equation in relativistic configuration space and q-deformations

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dc.authorscopusid6602808534
dc.contributor.authorMir-Kasimov, R. M.
dc.date.accessioned2022-05-11T14:48:04Z
dc.date.available2022-05-11T14:48:04Z
dc.date.issued2013
dc.departmentRektörlüğe Bağlı Bölümler, Rektörlük
dc.description.abstractReview paper is devoted to the relativistic configuration space (RCS) concept, a version of the relativistic Quantum Mechanics in RCS, the generalization of the Dirac-Infeld-Hall factorization method in the framework of the noncommutative differential calculus natural for RCS, different versions of the deformed oscillators, emerging as the generalization of the harmonic oscillator for RCS. In the formulation of the Newton-Wigner postulates for the relativistic localized states the hypothesis of commutativity of the position operator components is silently accepted as an evident fact. In the present work it is shown that commutativity is not necessary condition and the alternative (noncommutative) approach to the relativistic position operator and localization concept can be realized in a framework of the physically as well as mathematically comprehensive scheme. The different generalizations of the Dirac-Infeld-Hall factorization method for this case are constructed. This method enables us to find out all possible generalizations of the most important nonrelativistic integrable case-the harmonic oscillator. It is shown also that the relativistic oscillator = q-oscillator.
dc.identifier.doi10.1134/S1063779613030088
dc.identifier.endpage436
dc.identifier.issn1063-7796
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-84878190248
dc.identifier.scopusqualityQ3
dc.identifier.startpage422
dc.identifier.urihttps://doi.org/10.1134/S1063779613030088
dc.identifier.urihttps://hdl.handle.net/20.500.11776/10595
dc.identifier.volume44
dc.identifier.wosWOS:000319470600002
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorMir-Kasimov, R. M.
dc.language.isoen
dc.publisherMaik Nauka/Interperiodica/Springer
dc.relation.ispartofPhysics of Particles and Nuclei
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectQuantum
dc.subjectLocalizability
dc.subjectOscillators
dc.titleFactorization method for Schrodinger equation in relativistic configuration space and q-deformations
dc.typeArticle

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