Дисертації з теми "Quantum theory – Mathematics; Group theory"
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Gupta, Neha. "Homotopy quantum field theory and quantum groups." Thesis, University of Warwick, 2011. http://wrap.warwick.ac.uk/38110/.
Повний текст джерелаMantke, Wolfgang Johann. "Picture independent quantum action principle." Diss., Georgia Institute of Technology, 1992. http://hdl.handle.net/1853/29850.
Повний текст джерелаCarruth, Nathan Thomas. "Classical Foundations for a Quantum Theory of Time in a Two-Dimensional Spacetime." DigitalCommons@USU, 2010. https://digitalcommons.usu.edu/etd/708.
Повний текст джерелаGajewski, David C. "Analysis of Groups Generated by Quantum Gates." Connect to full text in OhioLINK ETD Center, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1250224470.
Повний текст джерелаCooney, Nicholas. "Quantum multiplicative hypertoric varieties and localization." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:17d0824f-e8f2-4cb7-9e84-dd3850a9e2a2.
Повний текст джерелаLaugwitz, Robert. "Braided Hopf algebras, double constructions, and applications." Thesis, University of Oxford, 2015. http://ora.ox.ac.uk/objects/uuid:ddcb459f-c3b4-40dd-9936-6bad6993ce8c.
Повний текст джерелаMajard, Dany. "Cubical categories, TQFTs and possible new representations for the Poincare group." Diss., Kansas State University, 2012. http://hdl.handle.net/2097/14139.
Повний текст джерелаDepartment of Mathematics
Louis Crane
In this thesis we explore the possibilities of obtaining Topological Quantum Field Theories using cobordisms with corners to break further down in the structure of manifolds of a given dimension. The algebraic data obtained is described in the language of higher category theory, more precisely in its cubical approach which we explore here as well. Interesting connections are proposed to some important objects in Physics: the representations of the Poincaré group. Finally we will describe in great details the topological tools needed to describe the categories of cobordisms with corners and give some conjectures on their nature.
Boixeda, Alvarez Pablo. "Affine Springer fibers and the representation theory of small quantum groups and related algebras." Thesis, Massachusetts Institute of Technology, 2020. https://hdl.handle.net/1721.1/126920.
Повний текст джерелаCataloged from the official PDF of thesis.
Includes bibliographical references (pages 125-128).
This thesis deals with the connections of Geometry and Representation Theory. In particular we study the representation theory of small quantum groups and Frobenius kernels and the geometry of an equivalued affine Springer fiber Fl[subscript ts] for s a regular semisimple element. In Chapter 2 we relate the center of the small quantum group with the cohomology of the above affine Springer fiber. This includes joint work with Bezrukavnikov, Shan and Vaserot. In Chapter 3 we study the geometry of the affine Springer fiber and in particular understand the fixed points of a torus action contained in each component. In Chapter 4 we further have a collection of algebraic results on the representation theory of Frobenius kernels. In particular we state some results pointing towards some construction of certain partial Verma functors and we compute this in the case of SL₂. We also compute the center of Frobenius kernels in the case of SL₂ and state a conjecture on a possible inductive construction of the general center.
by Pablo Boixeda Alvarez.
Ph. D.
Ph.D. Massachusetts Institute of Technology, Department of Mathematics
Ho, Yanfang. "Group theoretical analysis of in-shell interaction in atoms." Scholarly Commons, 1985. https://scholarlycommons.pacific.edu/uop_etds/487.
Повний текст джерелаXu, Guang-Hui. "Exploratory studies of group theoretic methods in atomic physics." Scholarly Commons, 1989. https://scholarlycommons.pacific.edu/uop_etds/2189.
Повний текст джерелаPoulain, D'Andecy Loïc. "Algèbres de Hecke cyclotomiques : représentations, fusion et limite classique." Phd thesis, Aix-Marseille Université, 2012. http://tel.archives-ouvertes.fr/tel-00748920.
Повний текст джерелаMcSorley, J. P. "Topics in group theory." Thesis, University of Oxford, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.376929.
Повний текст джерелаAbolfathe, Beikidezfuli Salman. "Quantum proof systems and entanglement theory." Thesis, Massachusetts Institute of Technology, 2009. http://hdl.handle.net/1721.1/50594.
Повний текст джерелаIncludes bibliographical references (p. 99-106).
Quantum complexity theory is important from the point of view of not only theory of computation but also quantum information theory. In particular, quantum multi-prover interactive proof systems are defined based on complexity theory notions, while their characterization can be formulated using LOCC operations. On the other hand, the main resource in quantum information theory is entanglement, which can be considered as a monotonic decreasing quantity under LOCC maps. Indeed, any result in quantum proof systems can be translated to entanglement theory, and vice versa. In this thesis I mostly focus on quantum Merlin-Arthur games as a proof system in quantum complexity theory. I present a new complete problem for the complexity class QMA. I also show that computing both the Holevo capacity and the minimum output entropy of quantum channels are NP-hard. Then I move to the multiple-Merlin-Arthur games and show that assuming some additivity conjecture for entanglement of formation, we can amplify the gap in QMA(2) protocols. Based on the same assumption, I show that the QMA(k)-hierarchy collapses to QMA(2). I also prove that QMAlog(2), which is defined the same as QMA(2) except that the size of witnesses is logarithmic, with the gap n-(3+e) contains NP. Finally, motivated by the previous results, I show that the positive partial transpose test gives no bound on the trace distance of a given bipartite state from the set of separable states.
by Salman Abolfathe Beikidezfuli.
Ph.D.
Evans, D. M. "Some topics in group theory." Thesis, University of Oxford, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.355748.
Повний текст джерелаNicholson, Julia. "Otto Hölder and the development of group theory and Galois theory". Thesis, University of Oxford, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.333485.
Повний текст джерелаGrenham, Dermot. "Some topics in nilpotent group theory." Thesis, University of Oxford, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.329954.
Повний текст джерелаGirolami, Davide. "Quantum correlations in information theory." Thesis, University of Nottingham, 2013. http://eprints.nottingham.ac.uk/13397/.
Повний текст джерелаAli, David Benedict. "Aspects of non-Abelian quantum field theory." Thesis, University of Liverpool, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.368626.
Повний текст джерелаPriebe, Roman. "The regular histories formulation of quantum theory." Thesis, University of Oxford, 2012. http://ora.ox.ac.uk/objects/uuid:937eefeb-35d5-4343-9846-46cc6677ad0c.
Повний текст джерелаGatward, Sally Morrell. "On a new construction in group theory." Thesis, Queen Mary, University of London, 2011. http://qmro.qmul.ac.uk/xmlui/handle/123456789/2342.
Повний текст джерелаKeil, Markus. "Renormalization group theory for quantum dissipative systems in nonequilibrium." [S.l.] : [s.n.], 2001. http://webdoc.sub.gwdg.de/diss/2002/keil/keil.pdf.
Повний текст джерелаLi, Ben. "Convex Analysis and its Application to Quantum Information Theory." Case Western Reserve University School of Graduate Studies / OhioLINK, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=case1534240584297621.
Повний текст джерелаZhang, Yu, and 張余. "Time-dependent study of quantum transport and dissipation." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2014. http://hdl.handle.net/10722/207190.
Повний текст джерелаpublished_or_final_version
Chemistry
Doctoral
Doctor of Philosophy
Patureau-Mirand, Bertrand. "Invariants topologiques quantiques non semi-simples." Habilitation à diriger des recherches, Université de Bretagne Sud, 2012. http://tel.archives-ouvertes.fr/tel-00872405.
Повний текст джерелаKilgour, Calum Wallace. "Using pictures in combinatorial group and semigroup theory." Thesis, University of Glasgow, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.265965.
Повний текст джерелаAcharya, Anirudh. "Quantum tomography : asymptotic theory and statistical methodology." Thesis, University of Nottingham, 2018. http://eprints.nottingham.ac.uk/49998/.
Повний текст джерелаEyink, Gregory Lawrence. "Quantum field-theory in non-integer dimensions /." The Ohio State University, 1988. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487584612164091.
Повний текст джерелаGordon, Iain. "Representation theory of quantised function algebras at roots of unity." Thesis, Connect to electronic version, 1998. http://hdl.handle.net/1905/177.
Повний текст джерелаBavuma, Yanga. "Some combinatorial aspects in algebraic topology and geometric group theory." Master's thesis, University of Cape Town, 2018. http://hdl.handle.net/11427/29763.
Повний текст джерелаIsenrich, Claudio Llosa. "Kähler groups and Geometric Group Theory." Thesis, University of Oxford, 2017. https://ora.ox.ac.uk/objects/uuid:4a7ab097-4de5-4b72-8fd6-41ff8861ffae.
Повний текст джерелаHolland, Jan W. "Properties of the operator product expansion in quantum field theory." Thesis, Cardiff University, 2013. http://orca.cf.ac.uk/53230/.
Повний текст джерелаFennessey, Eric James. "Some applications of geometric techniques in combinatorial group theory." Thesis, University of Glasgow, 1989. http://theses.gla.ac.uk/6159/.
Повний текст джерелаAltschul, Brett David 1977. "Aspects of quantum theory in 1+1 and slightly more dimensions." Thesis, Massachusetts Institute of Technology, 2003. http://hdl.handle.net/1721.1/29343.
Повний текст джерелаIncludes bibliographical references (p. 81-86).
We consider four problems in (1+1)-dimensional physics. Each of these problems had important connections to the physical behavior of (3+ 1 )-dimensional systems. First, we consider problem of fermions interacting with multiple bosonic solitons. We describe a new approximation scheme for determining the fermion energy spectrum and apply it to (1 + 1 )-dimensional two-component fermions coupled to scalar field solitons. Second, we study (1+1)-dimensional behavior in particles falling toward a Schwarzchild black hole . Using a non-covariant choice for the momentum cutoff, we examine the photon self-energy integral. We find evidence that the photons acquire an effective mass with a nonzero imaginary part, so that the photons may decay. Third, we consider cold fermions trapped in a high aspect ratio potential, which confines the particles to move in only one direction. The purely (1 + 1 )-dimensional aspects of this problem have been extensively studied. We examine the corrections that arise because of the underlying (3+ 1 )-dimensional character of the situation and determine the zero-temperature shifts in the (1+1)-dimensional energy spectrum. Fourth, we present a toy model, which is related, by analogy to the problem of electron-inhabited bubbles in liquid helium. An analysis of the I-dimensional model suggests that the recent suggestion that the electron bubbles may split in two is incorrect.
by Brett David Altschul.
Ph.D.
Ryan, James Patrick. "Coupling matter to quantum gravity in the group field theory approach." Thesis, University of Cambridge, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.613184.
Повний текст джерелаShiri-Garakani, Mohsen. "Finite Quantum Theory of the Harmonic Oscillator." Diss., Georgia Institute of Technology, 2004. http://hdl.handle.net/1853/5078.
Повний текст джерелаBar, Krzysztof. "Automated rewriting for higher categories and applications to quantum theory." Thesis, University of Oxford, 2016. https://ora.ox.ac.uk/objects/uuid:ba1d3341-873d-4255-8400-c2277b7648f3.
Повний текст джерелаJacobs, Andrew D. "Nonstandard quantum groups : twisting constructions and noncommutative differential geometry." Thesis, University of St Andrews, 1998. http://hdl.handle.net/10023/13693.
Повний текст джерелаSiehler, Jacob A. "Near-Group Categories." Diss., Virginia Tech, 2003. http://hdl.handle.net/10919/26962.
Повний текст джерелаPh. D.
Yeo, Michelle SoYeong. "CONSTRUCTION OF FINITE GROUP." CSUSB ScholarWorks, 2017. https://scholarworks.lib.csusb.edu/etd/592.
Повний текст джерелаVaintrob, Dmitry. "Mirror symmetry and the K theory of a p-adic group." Thesis, Massachusetts Institute of Technology, 2016. http://hdl.handle.net/1721.1/104578.
Повний текст джерелаCataloged from PDF version of thesis.
Includes bibliographical references (pages 59-61).
Let G be a split, semisimple p-adic group. We construct a derived localization functor Loc : ... from the compactified category of [BK2] associated to G to the category of equivariant sheaves on the Bruhat-Tits building whose stalks have finite-multiplicity isotypic components as representations of the stabilizer. Our construction is motivated by the "coherent-constructible correspondence" functor in toric mirror symmetry and a construction of [CCC]. We show that Loc has a number of useful properties, including the fact that the sections ... compactifying the finitely-generated representation V. We also construct a depth = e "truncated" analogue Loc(e) which has finite-dimensional stalks, and satisfies the property RIP ... V of depth = e. We deduce that every finitely-generated representation of G has a bounded resolution by representations induced from finite-dimensional representations of compact open subgroups, and use this to write down a set of generators for the K-theory of G in terms of K-theory of its parahoric subgroups.
by Dmitry A. Vaintrob.
Ph. D.
Joubert, Paul. "Geometric actions of the absolute Galois group." Thesis, Stellenbosch : University of Stellenbosch, 2006. http://hdl.handle.net/10019.1/2508.
Повний текст джерелаThis thesis gives an introduction to some of the ideas originating from A. Grothendieck's 1984 manuscript Esquisse d'un programme. Most of these ideas are related to a new geometric approach to studying the absolute Galois group over the rationals by considering its action on certain geometric objects such as dessins d'enfants (called stick figures in this thesis) and the fundamental groups of certain moduli spaces of curves. I start by defining stick figures and explaining the connection between these innocent combinatorial objects and the absolute Galois group. I then proceed to give some background on moduli spaces. This involves describing how Teichmuller spaces and mapping class groups can be used to address the problem of counting the possible complex structures on a compact surface. In the last chapter I show how this relates to the absolute Galois group by giving an explicit description of the action of the absolute Galois group on the fundamental group of a particularly simple moduli space. I end by showing how this description was used by Y. Ihara to prove that the absolute Galois group is contained in the Grothendieck-Teichmuller group.
Ketcham, Kwang B. "Group Frames and Partially Ranked Data." Scholarship @ Claremont, 2010. https://scholarship.claremont.edu/hmc_theses/19.
Повний текст джерелаChristandl, Matthias. "The structure of bipartite quantum states : insights from group theory and cryptography." Thesis, University of Cambridge, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.613714.
Повний текст джерелаRoy, Alan A. "Aspects of renormalisation in some quantum field theories." Thesis, Rhodes University, 1998. http://hdl.handle.net/10962/d1005214.
Повний текст джерелаSilberstein, Aaron. "Anabelian Intersection Theory." Thesis, Harvard University, 2012. http://dissertations.umi.com/gsas.harvard:10141.
Повний текст джерелаMathematics
Davis, Simon. "The quantum cosmological wavefunction at very early times for a quadratic gravity theory." Universität Potsdam, 2003. http://opus.kobv.de/ubp/volltexte/2008/2652/.
Повний текст джерелаMichlin, Tracie L. "Using wavelet bases to separate scales in quantum field theory." Diss., University of Iowa, 2017. https://ir.uiowa.edu/etd/5572.
Повний текст джерелаAlp, Murat. "GAP, crossed inodules, Cat'1-groups : applications of computational group theory." Thesis, Bangor University, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.361168.
Повний текст джерелаChen, Shuguang, and 陈曙光. "Nonequilibrium Green's function-hierarchical equation of motion method for time-dependent quantum transport." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2014. http://hdl.handle.net/10722/206344.
Повний текст джерелаpublished_or_final_version
Chemistry
Doctoral
Doctor of Philosophy
Cornwell, Christopher R. "On the Combinatorics of Certain Garside Semigroups." Diss., CLICK HERE for online access, 2006. http://contentdm.lib.byu.edu/ETD/image/etd1381.pdf.
Повний текст джерела