Studies in Loop Quantization of cosmological models (Record no. 48810)

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008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
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080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER
Universal Decimal Classification number HBNI Th-9
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Kinjal Banerjee
Relator term author
245 ## - TITLE STATEMENT
Title Studies in Loop Quantization of cosmological models
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Year of publication 2009
300 ## - PHYSICAL DESCRIPTION
Number of Pages ix; 84p.
502 ## - DISSERTATION NOTE
Dissertation note 2009
502 ## - DISSERTATION NOTE
Degree Type Ph.D
502 ## - DISSERTATION NOTE
Name of granting institution HBNI
520 3# - SUMMARY, ETC.
Summary, etc This thesis presents some studies on the Loop Quantization of cosmological models. The effect of loop quantization of FRW cosmology in the context of effective equations and WKB approximation are studied in the first part of the thesis. The initial steps undertaken in the second part, in construction of 'A Loop Quantized theory' of a midi-superspace model known as the Gowdy Model on T^3. One of the qualitatively distinct and robust implication of Loop Quantum Gravity - the underlying discrete structure is manifested by the Hamiltonian Constraint Equation, in the cosmological context elucidated by Loop Quantum Cosmology. An alternative derivation of the effective Hamiltonian is presented, by-passing the continuum approximation step. The Kinematical Hilbert Space is introduced on which the appropriate holonomies and fluxes are well represented. The quantization of the volume operator and the Gauss constraint is straightforward. Imposition of the Gauss constraint can be done on the Kinematical Hilbert Space to select subspace of gauge invariant states. The quantization of the Hamiltonian constraint is carried out, making specific choices. Alternative choices are briefly discussed. It appears that to get spatial correlations reflected in the Hamiltonian constraint, one may have to adopt the so called 'effective operator view point'.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Physics
653 10 - INDEX TERM--UNCONTROLLED
Uncontrolled term Loop Quantum Cosmology
653 10 - INDEX TERM--UNCONTROLLED
Uncontrolled term Loop Quantum Gravity
720 1# - ADDED ENTRY--UNCONTROLLED NAME
Thesis Advisor Ghanashyam Date
Relator term Thesis advisor [ths]
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://www.imsc.res.in/xmlui/handle/123456789/122
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type THESIS & DISSERTATION
Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Full call number Accession Number Uniform Resource Identifier Koha item type
        IMSc Library HBNI Th-9 61482 http://www.imsc.res.in/xmlui/handle/123456789/122 THESIS & DISSERTATION
The Institute of Mathematical Sciences, Chennai, India

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