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Dissertations / Theses on the topic 'Quantum theory Measure theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 2 February 2022

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1

Ghazi-Tabatabai, Yousef. "Quantum Measure Theory : A New Interpretation." Thesis, Imperial College London, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.502912.

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2

Childress, Scot Paul. "Quantum measures, arithmetic coils, and generalized fractal strings." Diss., UC access only, 2009. http://proquest.umi.com/pqdweb?index=128&did=1871850181&SrchMode=1&sid=1&Fmt=7&retrieveGroup=0&VType=PQD&VInst=PROD&RQT=309&VName=PQD&TS=1270491013&clientId=48051.

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Thesis (Ph. D.)--University of California, Riverside, 2009.<br>Includes abstract. Includes bibliographical references (leaves 202-204) and index. Issued in print and online. Available via ProQuest Digital Dissertations.

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3

Zander, Claudia. "Information measures, entanglement and quantum evolution." Diss., University of Pretoria, 2007. http://upetd.up.ac.za/thesis/available/etd-04212008-090506.

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4

Woodhead, Erik. "Imperfections and self testing in prepare-and-measure quantum key distribution." Doctoral thesis, Universite Libre de Bruxelles, 2014. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209185.

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Quantum key distribution (QKD) protocols are intended to allow cryptographic keys to be generated and distributed in way that is provably secure based on inherent limitations, such as the no-cloning principle, imposed by quantum mechanics. This unique advantage compared with classical cryptography comes with an added difficulty: key bits in QKD protocols are encoded in analogue quantum states and their preparation is consequently subject to the usual imprecisions inevitable in any real world experiment. The negative impact of such imprecisions is illustrated for the BB84 QKD protocol. Followin

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5

Crespo, Jonathan. "Monoidal equivalence of locally compact quantum groups and application to bivariant K-theory." Thesis, Clermont-Ferrand 2, 2015. http://www.theses.fr/2015CLF22621/document.

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Les travaux présentés dans cette thèse concernent l'équivalence monoïdale de groupes quantiques localement compacts et ses applications. Nous généralisons au cas localement compact et régulier, deux résultats importants concernant les actions de groupes quantiques compacts. Soient G1 et G2 deux groupes quantiques localement compacts réguliers et monoïdalement équivalents. Nous développons un procédé d'induction des actions qui permet d'établir une équivalence canonique des catégories dont les objets sont les actions continues de G1 et G2 sur les C*-algèbres. Comme application de ce résultat, n

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6

Albouy, Olivier. "Discrete algebra and geometry applied to the Pauli group and mutually unbiased bases in quantum information theory." Phd thesis, Université Claude Bernard - Lyon I, 2009. http://tel.archives-ouvertes.fr/tel-00612229.

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Pour d non puissance d'un nombre premier, le nombre maximal de bases deux à deux décorrélées d'un espace de Hilbert de dimension d n'est pas encore connu. Dans ce mémoire, nous commençons par donner une construction de bases décorrélées en lien avec une famille de représentations irréductibles de l'algèbre de Lie su(2) et faisant appel aux sommes de Gauss.Puis nous étudions de façon systématique la possibilité de construire de telle bases au moyen des opérateurs de Pauli. 1) L'étude de la droite projective sur Zdm montre que, pour obtenir des ensembles maximaux de bases décorrélées à l'aide d'

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7

Li, Ling Feng. "An image encryption system based on two-dimensional quantum random walks." Thesis, University of Macau, 2018. http://umaclib3.umac.mo/record=b3950660.

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8

Midgley, Stuart. "Quantum waveguide theory." University of Western Australia. School of Physics, 2003. http://theses.library.uwa.edu.au/adt-WU2004.0036.

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The study of nano-electronic devices is fundamental to the advancement of the semiconductor industry. As electronic devices become increasingly smaller, they will eventually move into a regime where the classical nature of the electrons no longer applies. As the quantum nature of the electrons becomes increasingly important, classical or semiclassical theories and methods will no longer serve their purpose. For example, the simplest non-classical effect that will occur is the tunnelling of electrons through the potential barriers that form wires and transistors. This results in an increase in

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9

Shin, Ghi Ryang. "Quantum transport theory." Diss., The University of Arizona, 1993. http://hdl.handle.net/10150/186508.

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Within the framework of the quantum transport theory based on the Wigner transform of the density matrix I study first in non-relativistic and subsequently in relativistic formulation a number of applications. I also develop further the recently proposed relativistic theory: the classical limit is carefully derived and the integral equations of the relativistic Wigner function derived explicitly. I show how it is possible to obtain the Schwinger like particle production rate from relativistic quantum transport equations. Noteworthy numerical results address the shape of the relativistic Wigner

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10

Schumann, Robert Helmut. "Quantum information theory." Thesis, Stellenbosch : Stellenbosch University, 2000. http://hdl.handle.net/10019.1/51892.

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Thesis (MSc)--Stellenbosch University, 2000<br>ENGLISH ABSTRACT: What are the information processing capabilities of physical systems? As recently as the first half of the 20th century this question did not even have a definite meaning. What is information, and how would one process it? It took the development of theories of computing (in the 1930s) and information (late in the 1940s) for us to formulate mathematically what it means to compute or communicate. Yet these theories were abstract, based on axiomatic mathematics: what did physical systems have to do with these axioms? Rolf La

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11

Deniz, Aslı Ufuktepe Ünal. "Measure Theory On Times Scales/." [s.l.]: [s.n.], 2007. http://library.iyte.edu.tr/tezler/master/matematik/T000568.pdf.

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12

Oeckl, Robert. "Quantum geometry and Quantum Field Theory." Thesis, University of Cambridge, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.621912.

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13

Hamilton, Craig S. "Measurements in quantum theory." Thesis, University of Strathclyde, 2009. http://oleg.lib.strath.ac.uk:80/R/?func=dbin-jump-full&object_id=11885.

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14

Whitt, Brian. "Gravity : a quantum theory?" Thesis, University of Cambridge, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.304522.

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15

Hele, Timothy John Harvey. "Quantum transition-state theory." Thesis, University of Cambridge, 2014. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.708197.

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16

Kaonga, Llolsten L. C. "Maharam's theory of abstract measure functions." Thesis, McGill University, 1994. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=55504.

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This work is an account of Maharam's paper The representation of abstract measure functions (Ma3) in which it is shown that abstract measures can be written as combinations of ordinary numerical ones.

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17

Gupta, Neha. "Homotopy quantum field theory and quantum groups." Thesis, University of Warwick, 2011. http://wrap.warwick.ac.uk/38110/.

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The thesis is divided into two parts one for dimension 2 and the other for dimension 3. Part one (Chapter 3) of the thesis generalises the definition of an n-dimensional HQFT in terms of a monoidal functor from a rigid symmetric monoidal category X-Cobn to any monoidal category A. In particular, 2-dimensional HQFTs with target K(G,1) taking values in A are generated from any Turaev G-crossed system in A and vice versa. This is the generalisation of the theory given by Turaev into a purely categorical set-up. Part two (Chapter 4) of the thesis generalises the concept of a group-coalgebra, Hopf

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18

Poletti, Stephen John. "Geometry, quantum field theory and quantum cosmology." Thesis, University of Newcastle Upon Tyne, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.315921.

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19

Kerr, Steven. "Topological quantum field theory and quantum gravity." Thesis, University of Nottingham, 2014. http://eprints.nottingham.ac.uk/14094/.

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This thesis is broadly split into two parts. In the first part, simple state sum models for minimally coupled fermion and scalar fields are constructed on a 1-manifold. The models are independent of the triangulation and give the same result as the continuum partition functions evaluated using zeta-function regularisation. Some implications for more physical models are discussed. In the second part, the gauge gravity action is written using a particularly simple matrix technique. The coupling to scalar, fermion and Yang-Mills fields is reviewed, with some small additions. A sum over histories

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20

Willett, Roger. "Accounting measurement theory." Thesis, University of Aberdeen, 1985. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=165709.

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21

Rosaler, Joshua S. "Inter-theory relations in physics : case studies from quantum mechanics and quantum field theory." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:1fc6c67d-8c8e-4e92-a9ee-41eeae80e145.

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I defend three general claims concerning inter-theoretic reduction in physics. First, the popular notion that a superseded theory in physics is generally a simple limit of the theory that supersedes it paints an oversimplified picture of reductive relations in physics. Second, where reduction specifically between two dynamical systems models of a single system is concerned, reduction requires the existence of a particular sort of function from the state space of the low-level (purportedly more accurate and encompassing) model to that of the high-level (purportedly less accurate and encompassin

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22

Faghfoor, Maghrebi Mohammad. "Information gain in quantum theory." Thesis, University of British Columbia, 2008. http://hdl.handle.net/2429/2724.

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In this thesis I address the fundamental question that how the information gain is possible in the realm of quantum mechanics where a single measurement alters the state of the system. I study an ensemble of particles in some unknown (but product) state in detail and suggest an optimal way of gaining the maximum information and also quantify the corresponding information exactly. We find a rather novel result which is quite different from other well-known definitions of the information gain in quantum theory.

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23

Galiautdinov, Andry. "Quantum theory of elementary processes." Diss., Georgia Institute of Technology, 2002. http://hdl.handle.net/1853/28007.

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24

Sentís, Manuel Lorenzo. "Quantum theory of open systems." Zürich : ETH, Eidgenössische Technische Hochschule Zürich, Institut für Theoretische Physik, 2002. http://e-collection.ethbib.ethz.ch/show?type=dipl&nr=172.

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25

García, Díaz María. "The theory of quantum coherence." Doctoral thesis, Universitat Autònoma de Barcelona, 2020. http://hdl.handle.net/10803/670162.

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La coherència quàntica, o la propietat dels sistemes que es troben en una superposició d’estats capaç de donar lloc a patrons d’interferència en els experiments adequats, és el segell distintiu de la mecànica quàntica. Més enllà de les seves fascinants implicacions epistemològiques, la coherència quàntica resulta també un recurs valuós a l’hora de dur a terme diferents tasques quàntic-informacionals i ha estat fins i tot emprada en la descripció de certs processos biològics. Per aquest motiu s’ha fet necessari el desenvolupament d’una teoria de recursos que formalitzi rigo

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26

Wilkins, Andrew H. "Topics in modern quantum theory /." Title page, table of contents and abstract only, 1998. http://web4.library.adelaide.edu.au/theses/09PH/09phw6837.pdf.

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27

Vedral, Vlatko. "Quantum information theory of entanglement." Thesis, Imperial College London, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.299786.

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28

Ivin, Marko. "Topics in quantum field theory." Thesis, Imperial College London, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.410042.

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29

Kirrander, Adam. "Quantum defect theory of molecules." Thesis, University of Oxford, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.422660.

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30

Girolami, Davide. "Quantum correlations in information theory." Thesis, University of Nottingham, 2013. http://eprints.nottingham.ac.uk/13397/.

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The project concerned the study of quantum correlations (QC) in compound systems, i.e. statistical correlations more general than entanglement which are predicted by quantum mechanics but not described in any classical scenario. I aimed to understand the technical and operational properties of the measures of QC, their interplay with entanglement quantifiers and the experimental accessibility. In the first part of my research path, after having acquired the conceptual and technical rudiments of the project, I provided solutions for some computational issues: I developed analytical and numerica

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31

Mackman, Stephen William. "Gauge fields and quantum theory." Thesis, Durham University, 1996. http://etheses.dur.ac.uk/5183/.

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This thesis investigates the problems within quantum mechanics for the Bohm model caused by Lorentz invariance and the existence of photons. A model describing the electromagnetic interactions of fermions is produced which does not use photons and avoids these problems. It is then shown how these techniques can be extended to linearised gravitational interactions. Finally semi-classical gravity and the possibility of gravitationally induced collapse are considered. In the first part of the thesis two modifications to the Bohm model are proposed. One takes account of Lorentz invariance, and the

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32

Russell, I. H. "Calculations in quantum field theory." Thesis, University of Newcastle Upon Tyne, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.328134.

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33

Mander, Gillian Linda. "Quantum theory of laser amplifiers." Thesis, University of Essex, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.290741.

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34

Butterley, Paul. "Topics in quantum information theory." Thesis, University of York, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.444697.

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35

Roberts, Justin Deritter. "Quantum invariants via skein theory." Thesis, University of Cambridge, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.319336.

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36

Abeyesinghe, Anura Yamesh Preskill John P. "Unification of quantum information theory /." Diss., Pasadena, Calif. : Caltech, 2006. http://resolver.caltech.edu/CaltechETD:etd-05252006-222551.

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37

Lai, Yinchieh. "Quantum theory of optical solitons." Thesis, Massachusetts Institute of Technology, 1991. http://hdl.handle.net/1721.1/42512.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1991.<br>Includes bibliographical references (leaves 93-98).<br>v by Yinchieh Lai.<br>Ph.D.

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38

Allen, John-Mark. "Reality, causality, and quantum theory." Thesis, University of Oxford, 2017. http://ora.ox.ac.uk/objects/uuid:01413eef-0944-4ec5-ad53-ac8378bcf4be.

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Quantum theory describes our universe incredibly successfully. To our classically-inclined brains, however, it is a bizarre description that requires a reimagining of what fundamental reality, or 'ontology', could look like. This thesis examines different ontological features in light of the success of quantum theory, what it requires, and what it rules out. While these investigations are primarily foundational, they also have relevance to quantum information, quantum communication, and experiments on quantum systems. The way that quantum theory describes the state of a system is one of its mo

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39

Maynard, Glenn. "Complex Numbers in Quantum Theory." Thesis, University of North Texas, 2015. https://digital.library.unt.edu/ark:/67531/metadc804988/.

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In 1927, Nobel prize winning physicist, E. Schrodinger, in correspondence with Ehrenfest, wrote the following about the new theory: “What is unpleasant here, and indeed directly to be objected to, is the use of complex numbers. Psi is surely fundamentally a real function.” This seemingly simple issue remains unexplained almost ninety years later. In this dissertation I elucidate the physical and theoretical origins of the complex requirement. I identify a freedom/constraint situation encountered by vectors when, employed in accordance with adopted quantum representational methodology, and

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40

Oniga, Teodora. "Theory of quantum gravitational decoherence." Thesis, University of Aberdeen, 2016. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=231085.

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As quantum systems can never be isolated from their environment entirely, it is expected that the spacetime fluctuations will influence their evolution. In particular, the environmental interaction may cause the loss of quantum superpositions, or decoherence. In this thesis, we examine the effects of the quantised environmental background on a range of bosonic fields in the formalism of open quantum systems. We first quantise linearised gravity in a gauge invariant way, using Dirac's constraint quantisation. We then use the influence functional technique to obtain an exact master equation for

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41

Esposito, Massimiliano. "Kinetic theory for quantum nanosystems." Doctoral thesis, Universite Libre de Bruxelles, 2004. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/211088.

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In this thesis, we investigate the emergence of kinetic processes in finite quantum systems. We first generalize the Redfield theory to describe the dynamics of a small quantum system weakly interacting with an environment of finite heat capacity. We then study in detail the spin-GORM model, a model made of a two-level system interacting with a random matrix environment. By doing this, we verify our new theory and find a critical size of the environment over which kinetic processes occur. We finally study the emergence of a diffusive transport process, on a finite tight-binding subsystem inter

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42

GalvaÌƒo, Ernesto Fagundes. "Foundations od quantum theory and quantum information applications." Thesis, University of Oxford, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.249255.

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43

Cortese, John A. Preskill John P. "Quantum information theory : classical communication over quantum channels /." Diss., Pasadena, Calif. : California Institute of Technology, 2004. http://resolver.caltech.edu/CaltechETD:etd-02172004-173217.

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44

Abusidualghoul, Victoria Jemma. "Complexity theory & the measure of organisations." Thesis, University of Leicester, 2014. http://hdl.handle.net/2381/28920.

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This dissertation explores the literature relating to organisational complexity, organisational measurement, educational institution measurement and qualitative research methods with a specific focus on participant-centredness. This is with a view to seeing whether complexity can provide a suitable underpinning for the exploration of educational institution assessment; whether effictility is a more useful and measurable construct than efficiency for school assessment; and whether the participant-guided tour is a viable first round research tool for recognising effictility. Early on, apparently

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45

Sokolova-Maria, Maria. "Risk measure changes and portfolio optimization theory." Thesis, Imperial College London, 2009. http://hdl.handle.net/10044/1/11376.

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46

Alhwaitiy, Hebah Sulaiman. "POTENTIAL THEORY AND HARMONIC FUNCTIONS." Kent State University / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=kent1448671803.

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47

Koucherik, Elena. "Transference and Szego's theorem for measure preserving transformations." Diss., Columbia, Mo. : University of Missouri-Columbia, 2007. http://hdl.handle.net/10355/6018.

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Thesis (Ph. D.)--University of Missouri-Columbia, 2007.<br>The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file (viewed on March 11, 2008) Includes bibliographical references.

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48

Timpson, Christopher Gordon. "Quantum information theory and the foundations of quantum mechanics." Thesis, University of Oxford, 2004. http://ora.ox.ac.uk/objects/uuid:457a0257-016d-445d-a6b2-f1bdd2648523.

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This thesis is a contribution to the debate on the implications of quantum information theory for the foundational problems of quantum mechanics. In Part I an attempt is made to shed some light on the nature of information and quantum information theory. It is emphasized that the everyday notion of information is to be firmly distinguished from the technical notions arising in information theory; however it is maintained that in both settings ‘information’ functions as an abstract noun, hence does not refer to a particular or substance. The popular claim ‘Information is Physical’ is assessed a

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49

Mazur, Daniel Paul. "Nonperturbative quantum field theory in astrophysics." Thesis, University of British Columbia, 2012. http://hdl.handle.net/2429/43255.

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The extreme electromagnetic or gravitational fields associated with some astrophysical objects can give rise to macroscopic effects arising from the physics of the quantum vacuum. Therefore, these objects are incredible laboratories for exploring the physics of quantum field theories. In this dissertation, we explore this idea in three astrophysical scenarios. In the early universe, quantum fluctuations of a scalar field result in the generation of particles, and of the density fluctuations which seed the large- scale structure of the universe. These fluctuations are generated through quantum

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50

Rondelli, Andrea. "Functional methods in quantum field theory." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/15839/.

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Iniziamo introducendo l'integrazione su manifold di Hilbert, tramite l'approssimazione dello spazio tangente alla varietà. Passiamo poi a descrivere due tecniche per regolarizzare integrali funzionali o di cammino quadratici (che presentano un laplaciano nell'azione): la regolarizzazione e rinormalizzazione tramite zeta function e il cutoff nel tempo proprio. Cerchiamo di confrontare i due diversi risultati (finiti) così ottenuti. Sussessivamente applichiamo l'integrazione funzionale agli integrali di cammino usando il formalismo della quantizzazione in qp-simboli ottenendo così un'ampiezza di

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