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Scalar fields and spin-half fields on mildly singular spacetimes

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TitleInfo
Title
Scalar fields and spin-half fields on mildly singular spacetimes
Name (type = personal)
NamePart (type = family)
Kallupalam Balasubramanian
NamePart (type = given)
Moulik
NamePart (type = date)
1988-
DisplayForm
Moulik Kallupalam Balasubramanian
Role
RoleTerm (authority = RULIB)
author
Name (type = personal)
NamePart (type = family)
Tahvildar-Zadeh
NamePart (type = given)
Shadi
DisplayForm
Shadi Tahvildar-Zadeh
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
chair
Name (type = personal)
NamePart (type = family)
Soffer
NamePart (type = given)
Avraham
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Avraham Soffer
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
internal member
Name (type = personal)
NamePart (type = family)
Kiessling
NamePart (type = given)
Michael
DisplayForm
Michael Kiessling
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
internal member
Name (type = personal)
NamePart (type = family)
Strain
NamePart (type = given)
Robert
DisplayForm
Robert Strain
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
outside member
Name (type = corporate)
NamePart
Rutgers University
Role
RoleTerm (authority = RULIB)
degree grantor
Name (type = corporate)
NamePart
Graduate School - New Brunswick
Role
RoleTerm (authority = RULIB)
school
TypeOfResource
Text
Genre (authority = marcgt)
theses
OriginInfo
DateCreated (qualifier = exact)
2015
DateOther (qualifier = exact); (type = degree)
2015-05
CopyrightDate (encoding = w3cdtf)
2015
Place
PlaceTerm (type = code)
xx
Language
LanguageTerm (authority = ISO639-2b); (type = code)
eng
Abstract (type = abstract)
A charged particle-spacetime is a solution to Einstein’s equations coupled to a nonlinear electromagnetic theory. It has a mild curvature singularity and a bounded electric potential. Morawetz and Strichartz estimates are proved for spherically symmetric scalar waves on such a spacetime. These spacetimes have conical singularities at their centers. As a first step towards understanding the behavior of scalar waves on such spacetimes, a way to reproduce the known fundamental solution to the scalar wave equation on flat two-dimensional cones is found using Sommerfeld’s method. Dirac’s equation for a spin-half field is set up on a charged particle-spacetime. The Dirac Hamiltonian is shown to be essentially self-adjoint on smooth functions with compact support away from the center. The essential spectrum and the continuous spectrum of the Hamiltonian are obtained. Under a certain condition, a neighbourhood of zero is shown to be in the resolvent. The existence of infinitely many eigenvalues is shown.
Subject (authority = RUETD)
Topic
Mathematics
RelatedItem (type = host)
TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier (type = RULIB)
ETD
Identifier
ETD_6400
PhysicalDescription
Form (authority = gmd)
electronic resource
InternetMediaType
application/pdf
InternetMediaType
text/xml
Extent
1 online resource (vi, 71 p.)
Note (type = degree)
Ph.D.
Note (type = bibliography)
Includes bibliographical references
Subject (authority = ETD-LCSH)
Topic
Scalar field theory
Subject (authority = ETD-LCSH)
Topic
Dirac equation
Note (type = statement of responsibility)
by Moulik Kallupalam Balasubramanian
RelatedItem (type = host)
TitleInfo
Title
Graduate School - New Brunswick Electronic Theses and Dissertations
Identifier (type = local)
rucore19991600001
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Identifier (type = doi)
doi:10.7282/T3ZP480H
Genre (authority = ExL-Esploro)
ETD doctoral
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Rights

RightsDeclaration (ID = rulibRdec0006)
The author owns the copyright to this work.
RightsHolder (type = personal)
Name
FamilyName
Kallupalam Balasubramanian
GivenName
Moulik
Role
Copyright Holder
RightsEvent
Type
Permission or license
DateTime (encoding = w3cdtf); (qualifier = exact); (point = start)
2015-04-15 11:50:10
AssociatedEntity
Name
Moulik Kallupalam Balasubramanian
Role
Copyright holder
Affiliation
Rutgers University. Graduate School - New Brunswick
AssociatedObject
Type
License
Name
Author Agreement License
Detail
I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
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Technical

RULTechMD (ID = TECHNICAL1)
ContentModel
ETD
OperatingSystem (VERSION = 5.1)
windows xp
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