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dc.contributor.advisorNešić, Ljubiša D.
dc.contributor.otherĐorđević, Goran S.
dc.contributor.otherPantić, Milan
dc.creatorRadovančević, Darko V.
dc.date.accessioned2017-04-22T09:30:04Z
dc.date.available2017-04-22T09:30:04Z
dc.date.available2020-07-03T16:12:11Z
dc.date.issued2016-12-17
dc.identifier.urihttp://eteze.ni.ac.rs/application/showtheses?thesesId=4844
dc.identifier.urihttp://nardus.mpn.gov.rs/handle/123456789/7938
dc.identifier.urihttps://fedorani.ni.ac.rs/fedora/get/o:1290/bdef:Content/download
dc.identifier.urihttp://vbs.rs/scripts/cobiss?command=DISPLAY&base=70052&RID=1025417705
dc.description.abstractThe theme of this PhD thesis is related to the study of minisuperspace cosmological models whose Lagrangians can be reduced to Lagrangian of the free relativistic particle or to Lagrangian of the two oscillators of the same or dierent frequencies. After getting acquainted with the elements of p-adic and adelic mathematical analysis and quantum mechanics, classical and quantum cosmology, the thesis discusses the aforementioned cosmological models in classic, p-adic noncommutative approach. The study of cosmological models within the p-adic noncommutative formalism is of particular importance because both of these approaches suggest discreteness of the structure of space-time at the Planck scale which is associated with the mechanism of signature transition within Hartl-Hawking boundary condition. After considering Milne model, in the classic section, rstly the classication of the two-oscillator models according to the form of Lagrangian is performed, concrete examples are given and then their Hamiltonians and classical actions are determined. The questions of the Hamiltonian condition and classical signature transition are especially considered. In the p-adic part, quantum p-adic and adelic forms of these models are presented and the conditions of the existence of their vacuum p-adic states are determined. After that noncommutative forms of the models are considered and their classical noncommutative actions and propagators are determined. In addition to a better understanding of the early stages of the universe evolution, the study of these models will provide a better insight into the dynamics and thermodynamics of the interior of non-charged and non-rotating (Schwarzschild) black hole whose Einstein- -Hilbert action can be reduced to action one of the two-oscillator cosmological model (which will be discussed in the eighth chapter of the thesis). The original results presented in this thesis are of interest for further study of the black holes, the early evolution of the universe and further research in the eld of quantum gravitation in general.en
dc.formatapplication/pdf
dc.languagesr
dc.publisherУниверзитет у Нишу, Природно-математички факултетsr
dc.rightsopenAccessen
dc.sourceУниверзитет у Нишуsr
dc.subjectKvantna kosmologijasr
dc.subjectQuantum cosmologyen
dc.subjectnon-Archimedean spacesen
dc.subjectMinisuperspace cosmological modelsen
dc.subjectSignature changeen
dc.subjectNoncommutativityen
dc.subjectBlack hole thermodynamicsen
dc.subjectNearhimedovi prostorisr
dc.subjectMinisuperprostorni kosmološki modelisr
dc.subjectSignaturna izmenasr
dc.subjectNekomutativnostsr
dc.subjectTermodinamika crnih rupasr
dc.titleDvooscilatorni i modeli tipa slobodne čestice u kosmologijisr
dc.typedoctoralThesis
dc.rights.licenseBY-NC-ND
dcterms.abstractНешић, Љубиша Д.; Ђорђевић, Горан С.; Пантић, Милан; Радованчевић, Дарко В.; Двоосцилаторни и модели типа слободне честице у космологији; Двоосцилаторни и модели типа слободне честице у космологији;
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/54293/Radovancevic_Darko_V.pdf
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/54292/Disertacija.pdf


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