Introductive backgrounds to modern quantum mathematics with application to nonlinear dynamical systems

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dc.contributor.authorPrykarpatsky, Anatoliy K.
dc.contributor.authorBogoliubov, Nikolai N., Jr.
dc.contributor.authorGolenia, Jolanta
dc.contributor.authorTaneri, Ufuk
dc.date.accessioned2026-02-06T18:34:29Z
dc.date.issued2008
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractIntroductive backgrounds to a new mathematical physics discipline-Quantum Mathematics-are discussed and analyzed both from historical and from analytical points of view. The magic properties of the second quantization method, invented by V. Fock in 1932, are demonstrated, and an impressive application to the nonlinear dynamical systems theory is considered.
dc.identifier.doi10.1007/s10773-008-9721-2
dc.identifier.endpage2897
dc.identifier.issn0020-7748
dc.identifier.issn1572-9575
dc.identifier.issue11
dc.identifier.scopus2-s2.0-53649098314
dc.identifier.scopusqualityQ1
dc.identifier.startpage2882
dc.identifier.urihttps://doi.org/10.1007/s10773-008-9721-2
dc.identifier.urihttps://hdl.handle.net/11129/11805
dc.identifier.volume47
dc.identifier.wosWOS:000259862400010
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer/Plenum Publishers
dc.relation.ispartofInternational Journal of Theoretical Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.subjectquantum mathematics
dc.subjectcreation and annihilation operators
dc.subjectBogolubof functional equation
dc.subjectnonlinear dynamical systems
dc.subjectfock space imbedding method
dc.subjectC*-algebra representations
dc.titleIntroductive backgrounds to modern quantum mathematics with application to nonlinear dynamical systems
dc.typeArticle

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