Title
Dvooscilatorni i modeli tipa slobodne čestice u kosmologiji
Creator
Radovančević, Darko V. 1974-
Copyright date
2016
Object Links
Select license
Autorstvo-Nekomercijalno-Bez prerade 3.0 Srbija (CC BY-NC-ND 3.0)
License description
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Language
Serbian
Cobiss-ID
Theses Type
Doktorska disertacija
description
Datum odbrane: 17.12.2016.
Other responsibilities
mentor
Nešić, Ljubiša D. 1966-
član komisije
Đorđević, Goran S. 1963-
član komisije
Pantić, Milan, 1963-
Academic Expertise
Prirodno-matematičke nauke
Academic Title
-
University
Univerzitet u Nišu
Faculty
Prirodno-matematički fakultet
Group
Odsek za fiziku
Alternative title
The two-oscillator models and the free particle type models in cosmology
Publisher
[D. V. Radovančević]
Format
[10], 99 listova
description
Biografija: list 99
description
Theoretical Physics
Abstract (en)
The 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.
Authors Key words
Kvantna kosmologija, Nearhimedovi prostori, Minisuperprostorni kosmološki modeli, Signaturna izmena, Nekomutativnost, Termodinamika crnih rupa
Authors Key words
Quantum cosmology, non-Archimedean spaces, Minisuperspace
cosmological models, Signature change, Noncommutativity, Black hole thermodynamics
Classification
539.11:524.8+524.882(043.2)
Subject
539.12-1 : 524.8 + 524.882
Type
Elektronska teza
Abstract (en)
The 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.
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