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Evolution equations for multi-time wavefunctions
Descriptive
TypeOfResource
Text
TitleInfo
Title
Evolution equations for multi-time wavefunctions
Identifier
ETD_2835
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000056706
Identifier
(type = doi)
doi:10.7282/T3SB45GJ
Language
LanguageTerm
(authority = ISO 639-3:2007);
(type = text)
English
Genre
(authority = marcgt)
theses
Subject
(authority = RUETD)
Topic
Physics and Astronomy
Subject
(authority = ETD-LCSH)
Topic
Relativistic mechanics
Subject
(authority = ETD-LCSH)
Topic
Schrödinger equation
Subject
(authority = ETD-LCSH)
Topic
Hamiltonian operator
Abstract
(type = abstract)
Multi-time wavefunctions are of particular interest in relativistic quantum mechanics. A multitime wavefunction has separate time-variables for each particle; this makes it a manifestly Lorentz-invariant object. The time-evolution equations are systems of Schroedinger equations; one for each particle's time variable and each with a certain Hamiltonian. We derive conditions under which these systems of equations have a common solution. Also, we derive three main results about concrete multi-time models. First we show that a model proposed by Duerr and Tumulka in 2001 is inconsistent. The second result is a consistent model for a constant number of particles with a cutoff pair potential. The third result is a consistent theory for a simple quantum field theoretic model with creation and annihilation of particles. Existence and uniqueness of solutions is proven for both models.
PhysicalDescription
Form
(authority = gmd)
electronic resource
Extent
iv, 64 p. : ill.
InternetMediaType
application/pdf
InternetMediaType
text/xml
Note
(type = degree)
M.S.
Note
(type = bibliography)
Includes bibliographical references
Note
(type = vita)
Includes vita
Note
(type = statement of responsibility)
by Sören Philipp Petrat
Name
(type = personal)
NamePart
(type = family)
Petrat
NamePart
(type = given)
Sören Philipp
NamePart
(type = date)
1985-
Role
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author
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Soren Petrat
Name
(type = personal)
NamePart
(type = family)
Goldstein
NamePart
(type = given)
Sheldon
Role
RoleTerm
(authority = RULIB)
chair
Affiliation
Advisory Committee
DisplayForm
Sheldon Goldstein
Name
(type = personal)
NamePart
(type = family)
Tumulka
NamePart
(type = given)
Roderich
Role
RoleTerm
(authority = RULIB)
internal member
Affiliation
Advisory Committee
DisplayForm
Roderich Tumulka
Name
(type = personal)
NamePart
(type = family)
Lebowitz
NamePart
(type = given)
Joel
Role
RoleTerm
(authority = RULIB)
internal member
Affiliation
Advisory Committee
DisplayForm
Joel Lebowitz
Name
(type = corporate)
NamePart
Rutgers University
Role
RoleTerm
(authority = RULIB)
degree grantor
Name
(type = corporate)
NamePart
Graduate School - New Brunswick
Role
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(authority = RULIB)
school
OriginInfo
DateOther
(qualifier = exact);
(type = degree)
2010
Place
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(type = code)
xx
DateCreated
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(qualifier = exact)
2010
Location
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(displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
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TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier
(type = RULIB)
ETD
RelatedItem
(type = host)
TitleInfo
Title
Graduate School - New Brunswick Electronic Theses and Dissertations
Identifier
(type = local)
rucore19991600001
Genre
(authority = ExL-Esploro)
ETD graduate
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Rights
RightsDeclaration
(AUTHORITY = GS);
(ID = rulibRdec0006)
The author owns the copyright to this work.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
RightsHolder
(ID = PRH-1);
(type = personal)
Name
FamilyName
Petrat
GivenName
Soren
Role
Copyright Holder
RightsEvent
(ID = RE-1);
(AUTHORITY = rulib)
Type
Permission or license
DateTime
2010-08-31 14:26:57
AssociatedEntity
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(AUTHORITY = rulib)
Role
Copyright holder
Name
Soren Petrat
Affiliation
Rutgers University. Graduate School - New Brunswick
AssociatedObject
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(AUTHORITY = rulib)
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.
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Technical
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ETD
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application/pdf
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application/x-tar
FileSize
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706560
Checksum
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