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dc.creatorŠetrajčić, Jovan P.
dc.creatorJaćimovski, Stevo
dc.creatorSajfert, Vjekoslav D.
dc.creatorŠetrajčić, Igor J.
dc.date.accessioned2019-03-21T16:04:40Z
dc.date.available2019-03-21T16:04:40Z
dc.date.issued2014
dc.identifier.issn1007-5704
dc.identifier.urihttp://jakov.kpu.edu.rs/handle/123456789/594
dc.description.abstractDifficulties connected to solving difference equations of hyperbolic type were analyzed in this work and discussed in detail. The results are compared to those of the standard wave equation and certain similarities were established. The method of solving the equation is generalized by means of kernel expanded into separable polynomials. The analysis was inspired by some new ideas concerning quantization of time. Two examples are given: excitons and phonons in thin crystalline films. The advanced methodology of Green's function method and the application of this new methodology resulted in a set of interesting conclusions concerning thin film properties. The significance of the obtained spatial dependence of exciton concentration was discussed and it was concluded, on the basis of the found spatial dependence of exciton concentration, that such boundary conditions of a thin molecular film which lead to high exciton concentrations can be determined. It was also concluded that thin films possess high superconductive properties, that physical characteristics of thin films are spatially dependent and that the spatial dependence can be the basis for widening the field of application of nanostructures.en
dc.publisherElsevier Science Bv, Amsterdam
dc.relationinfo:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/171039/RS//
dc.relationinfo:eu-repo/grantAgreement/MESTD/Technological Development (TD or TR)/34019/RS//
dc.relationProvincial Secretariat for Science and Technological Development of Vojvodina [114-451-2048]
dc.rightsrestrictedAccess
dc.sourceCommunications in nonlinear science and numerical simulation
dc.subjectEigentimeen
dc.subjectHyperbolic difference equationen
dc.subjectGreen's functionsen
dc.subjectExcitonsen
dc.subjectPhononsen
dc.subjectThin filmsen
dc.titleSpecific quantum mechanical solution of difference equation of hyperbolic typeen
dc.typearticle
dc.rights.licenseARR
dcterms.abstractШетрајчић, Јован П.; Јаћимовски, Стево; Сајферт, Вјекослав Д.; Шетрајчић, Игор Ј.;
dc.citation.volume19
dc.citation.issue5
dc.citation.spage1313
dc.citation.epage1328
dc.citation.other19(5): 1313-1328
dc.citation.rankaM21
dc.identifier.doi10.1016/j.cnsns.2013.08.026
dc.identifier.rcubconv_1105
dc.identifier.scopus2-s2.0-84887818825
dc.identifier.wos000327188800007
dc.type.versionpublishedVersion


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