Original title: Lorentzova grupa a její aplikace v kvantové teorii gravitace
Translated title: Lorentz group and its application in the theory of quantum gravity
Authors: Pejcha, Jakub ; Pilc, Marián (advisor) ; Krtouš, Pavel (referee)
Document type: Master’s theses
Year: 2016
Language: eng
Abstract: [eng] [cze]
In this thesis we are dealing with basic methods of theoretical physics focusing on quantum theory of gravity, that are: Hamilton-Dirac formalism for singular systems, Dirac`s method of quantizing systems with constraints and its mathematical formulation - refined algebraic quantization, representation of compact groups and representation of Lorentz group. We apply these methods to find eigenstates of Lorentz group and General linear group generators. We construct a physical Hilbert space on temporal part of 3+1 decomposition of Einstein-Cartan theory. Powered by TCPDF (www.tcpdf.org) V této práci se zabýváme základními metodami teoretické fyziky se zameřením na kvantovou teorii gravitace, jakými jsou: Hamiltonův-Diracův algoritmus pro singulární systémy, Diracova metoda kvantování systémů s vazbami a její matematická formualace - refined algebraic quantization, reprezentace kompaktních grup a reprezentace Lorentzovy grupy. Tyto metody aplikujeme k nalezení vlastních stavů generátorů Lorentzovy grupy a Obecné lineární grupy. Zkonstruujeme fyzikální Hilbertův prostor na časové části 3+1 rozkladu Einsteinovy-Cartanovy teorie. Powered by TCPDF (www.tcpdf.org)
Keywords: Dirac Formalism; Lorentz group; Quantum Gravity; Refined Algebraic Quantization; Diracův formalismus; kvantová gravitace; Lorentzova grupa; refined algebraic quantization

Institution: Charles University Faculties (theses) (web)
Document availability information: Available in the Charles University Digital Repository.
Original record: http://hdl.handle.net/20.500.11956/83129

Permalink: http://www.nusl.cz/ntk/nusl-352778


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Universities and colleges > Public universities > Charles University > Charles University Faculties (theses)
Academic theses (ETDs) > Master’s theses