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Dissertations / Theses on the topic 'Geometric quantization'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Gardell, Fredrik. "Geometric Quantization." Thesis, Uppsala universitet, Teoretisk fysik, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-296618.

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In this project we introduce the general idea of geometric quantization and demonstratehow to apply the process on a few examples. We discuss how to construct a line bundleover the symplectic manifold with Dirac’s quantization conditions and how to determine if we are able to quantize a system with the help of Weil’s integrability condition. To reducethe prequantum line bundle we employ real polarization such that the system does notbreak Heisenberg’s uncertainty principle anymore. From the prequantum bundle and thepolarization we construct the sought after Hilbert space.

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2

Hedlund, William. "Geometric Quantization." Thesis, Uppsala universitet, Teoretisk fysik, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-325649.

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We formulate a process of quantization of classical mechanics, from a symplecticperspective. The Dirac quantization axioms are stated, and a satisfactory prequantizationmap is constructed using a complex line bundle. Using polarization, it isdetermined which prequantum states and observables can be fully quantized. Themathematical concepts of symplectic geometry, fibre bundles, and distributions are exposedto the degree to which they occur in the quantization process. Quantizationsof a cotangent bundle and a sphere are described, using real and K¨ahler polarizations,respectively.

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3

Robson, Mark Andrew. "Geometric quantization of constrained systems." Thesis, University of Cambridge, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.363252.

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4

Flude, James Paul Maurice. "Geometric asymptotics of spin." Thesis, University of Nottingham, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.285637.

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5

Hsu, Siu-fai, and 許紹輝. "Geometric quantization of fermions and complex bosons." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2013. http://hub.hku.hk/bib/B50434500.

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Geometric quantization is a subject of finding irreducible representations of certain group or algebra and identifying those equivalent representations by geometric means. Geometric quantization of even dimensional fermionic system has been constructed based on the spinor representation of even dimensional Clifford algebras. Although geometric quantization of odd dimensional fermionic system has not been done, the existence of spinor representations in odd dimension indicates that the geometric quantization is possible. In quantum field theory, charge conjungation can be defined on complex

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6

Terizakis, George. "Geometric quantization, symplectic reduction and singular polarizations." Thesis, University of Warwick, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.300225.

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7

Castañeda, Terrones Jose Luis. "Review of geometric quantization and WKB method." Universidade Estadual Paulista (UNESP), 2018. http://hdl.handle.net/11449/157267.

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Submitted by Jose Luis Castañeda Terrones (joseluiscastanedat@gmail.com) on 2018-09-26T18:09:17Z No. of bitstreams: 1 Tese Jose Castaneda Final.pdf: 575058 bytes, checksum: 286cdeb9575d9c271e1d873096c5ad93 (MD5)<br>Approved for entry into archive by Hellen Sayuri Sato null (hellen@ift.unesp.br) on 2018-10-09T14:26:09Z (GMT) No. of bitstreams: 1 castanedaterrones_js_me_ift.pdf: 18481 bytes, checksum: e7b453cf971ef08437a1e5e5f83e4380 (MD5)<br>Made available in DSpace on 2018-10-09T14:26:09Z (GMT). No. of bitstreams: 1 castanedaterrones_js_me_ift.pdf: 18481 bytes, checksum: e7b453cf971ef08437a1e5

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8

Pinto, J. A. "Some aspects of geometric quantization and their physical basis." Thesis, University of St Andrews, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.377329.

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9

Sulcs, Sue 1952. "Maxwellian Renaissance and the illusion of quantization." Monash University, School of Philosophy and Bioethics, 2002. http://arrow.monash.edu.au/hdl/1959.1/8536.

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10

Rubinstein, Yanir Akiva. "Geometric quantization and dynamical constructions on the space of Kähler metrics." Thesis, Massachusetts Institute of Technology, 2008. http://hdl.handle.net/1721.1/44270.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2008.<br>Includes bibliographical references (p. 185-200).<br>This Thesis is concerned with the study of the geometry and structure of the space of Kihler metrics representing a fixed cohomology class on a compact Kähler manifold. The first part of the Thesis is concerned with a problem of geometric quantization: Can the geometry of the infinite-dimensional space of Kähler metrics be approximated in terms of the geometry of the finite-dimensional spaces of FubiniStudy Bergman metrics sitting inside it? We restrict to

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11

Roberts, Gina. "From commutators to half-forms : quantisation." Thesis, McGill University, 1987. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=63823.

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12

Lindsay, Larry J. "Quantization Dimension for Probability Definitions." Thesis, University of North Texas, 2001. https://digital.library.unt.edu/ark:/67531/metadc3008/.

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The term quantization refers to the process of estimating a given probability by a discrete probability supported on a finite set. The quantization dimension Dr of a probability is related to the asymptotic rate at which the expected distance (raised to the rth power) to the support of the quantized version of the probability goes to zero as the size of the support is allowed to go to infinity. This assumes that the quantized versions are in some sense ``optimal'' in that the expected distances have been minimized. In this dissertation we give a short history of quantization as well as some ba

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13

Zichy, Michael Andrew. "[Sigma Delta] Quantization with the hexagon norm in C /." Electronic version (PDF), 2006. http://dl.uncw.edu/etd/2006/zichym/michaelzichy.pdf.

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14

Russell, Neil Eric. "Aspects of the symplectic and metric geometry of classical and quantum physics." Thesis, Rhodes University, 1993. http://hdl.handle.net/10962/d1005237.

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I investigate some algebras and calculi naturally associated with the symplectic and metric Clifford algebras. In particular, I reformulate the well known Lepage decomposition for the symplectic exterior algebra in geometrical form and present some new results relating to the simple subspaces of the decomposition. I then present an analogous decomposition for the symmetric exterior algebra with a metric. Finally, I extend this symmetric exterior algebra into a new calculus for the symmetric differential forms on a pseudo-Riemannian manifold. The importance of this calculus lies in its potentia

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15

Barrios, John Beiro Moreno. "Construção geométrica de \"star-product\" integral em espaços simpléticos simétricos não compactos." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-12042013-093123/.

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A quantização geométrica e um método desenvolvido para prover uma construção geométrica que relacione a mecânica clássica com a quântica. O primeiro passo consiste em apresentar uma forma simplética, \'omega\'!, sobre uma variedade simplética, M, como a forma curvatura da conexão abla de um brado linear, L, sobre M. As funções sobre M operam como seções de L. Mas o espaço de todas as seções é grande demais. Queremos considerar seções constantes em certa direção, com respeito a derivada covariante dada por abla, e para isso precisamos o conceito de polarizações, essas seções são chamadas de s

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16

Anduwan, Gabriel A. Y. "Electron transport in semiconductor nanoconstrictons with and without an impurity in the channel." Virtual Press, 1998. http://liblink.bsu.edu/uhtbin/catkey/1115422.

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The development of electronics has been growing at a fast rate in recent years. More and more ideas have been searched and are increasing at a faster rate. However, there is more detail work in the nanolevel or nanostructure yet to be understood. Thus, more and more semiconductor physicists have move to the new field of study in nanostructures. Nanostructures are the future of electronic devices. By understanding nanostructure electronic devices, electronics is the key for the progress of any modern equipment and advancement. This comes about when electronic transport of a nanostructure is tho

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17

La, Fuente Gravy Laurent. "Automorphismes hamiltoniens d'un produit star et opérateurs de Dirac Symplectiques." Doctoral thesis, Universite Libre de Bruxelles, 2013. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209411.

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Cette thèse est consacrée à l'étude de deux sujets de géométrie symplectique inspirés<p>de la physique mathématique. Les thèmes que nous développerons mettent en évidence certaines <p>connexions avec la topologie symplectique d'une part, la géométrie Riemannienne d'autre part.<p><p>Dans la partie 1, nous étudions la quantification par déformation formelle d'une variété <p>symplectique, à l'aide de produits star. Nous définissons le groupe des automorphimes<p>hamiltoniens d'un produit star formel. En nous inspirant d'idées de Banyaga, nous <p>identifions ce groupe comme étant le noyau d'un morp

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18

Mori, Izuru. "Some results on quantum projective planes /." Thesis, Connect to this title online; UW restricted, 1998. http://hdl.handle.net/1773/5790.

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19

Yildirim, Tuna. "Topologically massive Yang-Mills theory and link invariants." Diss., University of Iowa, 2014. https://ir.uiowa.edu/etd/1519.

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In this thesis, topologically massive Yang-Mills theory is studied in the framework of geometric quantization. This theory has a mass gap that is proportional to the topological mass m. Thus, Yang-Mills contribution decays exponentially at very large distances compared to 1/m, leaving a pure Chern-Simons theory with level number k. The focus of this research is the near Chern-Simons limit of the theory, where the distance is large enough to give an almost topological theory, with a small contribution from the Yang-Mills term. It is shown that this almost topological theory consists of two copi

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20

Nordick, Brent C. "Dynamic Element Matching Techniques For Delta-Sigma ADCs With Large Internal Quantizers." Diss., CLICK HERE for online access, 2004. http://contentdm.lib.byu.edu/ETD/image/etd466.pdf.

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21

Fontanari, Daniele. "Quantum manifestations of the adiabatic chaos of perturbed superintegrable Hamiltonian systems." Doctoral thesis, Università degli studi di Padova, 2013. http://hdl.handle.net/11577/3423449.

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The abundance, among physical models, of perturbations of superintegrable Hamiltonian systems makes the understanding of their long-term dynamics an important research topic. While from the classical standpoint the situation, at least in many important cases, is well understood through the use of Nekhoroshev stability theorem and of the adiabatic invariants theory, in the quantum framework there is, on the contrary, a lack of precise results. The purpose of this thesis is to study a perturbed superintegrable quantum system, obtained from a classical counterpart by means of geometric quantiz

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22

Brécheteau, Claire. "Vers une vision robuste de l'inférence géométrique." Thesis, Université Paris-Saclay (ComUE), 2018. http://www.theses.fr/2018SACLS334/document.

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Le volume de données disponibles est en perpétuelle expansion. Il est primordial de fournir des méthodes efficaces et robustes permettant d'en extraire des informations pertinentes. Nous nous focalisons sur des données pouvant être représentées sous la forme de nuages de points dans un certain espace muni d'une métrique, e.g. l'espace Euclidien R^d, générées selon une certaine distribution. Parmi les questions naturelles que l'on peut se poser lorsque l'on a accès à des données, trois d'entre elles sont abordées dans cette thèse. La première concerne la comparaison de deux ensembles de points.

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23

CANNAS, AGHEDU FRANCESCO. "Quantizations of Kähler metrics on blow-ups." Doctoral thesis, Università degli Studi di Cagliari, 2021. http://hdl.handle.net/11584/309588.

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The thesis consists of three main results related to Kähler metrics on blow-ups. In the first one, we prove that the blow-up C ̃^2 of C^2 at the origin endowed with the Burns–Simanca metric g_BS admits a regular quantization. We use this fact to prove that all coefficients in the Tian-Yau-Catlin-Zelditch expansion for the Burns–Simanca metric vanish and that a dense subset of (C ̃^2,g_BS) admits a Berezin quantization. In the second one, we prove that the generalized Simanca metric on the blow-up C ̃^n of C^n at the origin is projectively induced but not balanced for any integer n>=3. Finally,

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24

Bagherian, Maryam. "Field Quantization for Radiative Decay of Plasmons in Finite and Infinite Geometries." Scholar Commons, 2019. https://scholarcommons.usf.edu/etd/7734.

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We investigate field quantization in high-curvature geometries. The models and calculations can help with understanding the elastic and inelastic scattering of photons and electrons in nanostructures and probe-like metallic domains. The results find important applications in high-resolution photonic and electronic modalities of scanning probe microscopy, nano-optics, plasmonics, and quantum sensing. Quasistatic formulation, leading to nonretarded quantities, is employed and justified on the basis of the nanoscale, here subwavelength, dimensions of the considered domains of interest. Within t

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25

Jost, Christine. "Topics in Computational Algebraic Geometry and Deformation Quantization." Doctoral thesis, Stockholms universitet, Matematiska institutionen, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-87399.

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This thesis consists of two parts, a first part on computations in algebraic geometry, and a second part on deformation quantization. More specifically, it is a collection of four papers. In the papers I, II and III, we present algorithms and an implementation for the computation of degrees of characteristic classes in algebraic geometry. Paper IV is a contribution to the field of deformation quantization and actions of the Grothendieck-Teichmüller group. In Paper I, we present an algorithm for the computation of degrees of Segre classes of closed subschemes of complex projective space. The al

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26

Tizzano, Luigi. "Geometry of BV quantization and Mathai-Quillen formalism." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2013. http://amslaurea.unibo.it/5941/.

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Il formalismo Mathai-Quillen (MQ) è un metodo per costruire la classe di Thom di un fibrato vettoriale attraverso una forma differenziale di profilo Gaussiano. Lo scopo di questa tesi è quello di formulare una nuova rappresentazione della classe di Thom usando aspetti geometrici della quantizzazione Batalin-Vilkovisky (BV). Nella prima parte del lavoro vengono riassunti i formalismi BV e MQ entrambi nel caso finito dimensionale. Infine sfrutteremo la trasformata di Fourier “odd" considerando la forma MQ come una funzione definita su un opportuno spazio graduato.

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27

Rivera, Hernández Sergio. "Tensorial spacetime geometries carrying predictive, interpretable and quantizable matter dynamics." Phd thesis, Universität Potsdam, 2012. http://opus.kobv.de/ubp/volltexte/2012/6186/.

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Which tensor fields G on a smooth manifold M can serve as a spacetime structure? In the first part of this thesis, it is found that only a severely restricted class of tensor fields can provide classical spacetime geometries, namely those that can carry predictive, interpretable and quantizable matter dynamics. The obvious dependence of this characterization of admissible tensorial spacetime geometries on specific matter is not a weakness, but rather presents an insight: it was Maxwell theory that justified Einstein to promote Lorentzian manifolds to the status of a spacetime geometry. Any mat

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28

Fontanari, Daniele. "Quantum manifestations of the adiabatic chaos of perturbed susperintegrable Hamiltonian systems." Thesis, Littoral, 2013. http://www.theses.fr/2013DUNK0356/document.

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Dans cette thèse nous étudions un système quantique, obtenu comme un analogue d'un système classique superintégrable perturbé au moyen de la quantification géométrique. Notre objectif est de mettre en évidence la présence des phénomènes analogues à ceux qui caractérisent la superintégrabilité classique, notamment la coexistence des mouvements réguliers et chaotiques liés aux effets des résonances ainsi que la régularité du régime non-résonant. L'analyse est effectuée par l'étude des distributions du Husimi des états quantiques sélectionnés, avec une attention particulière aux états stationnair

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29

Falk, Kevin. "Berezin--Toeplitz quantization and noncommutative geometry." Thesis, Aix-Marseille, 2015. http://www.theses.fr/2015AIXM4033/document.

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Cette thèse montre en quoi la quantification de Berezin--Toeplitz peut être incorporée dans le cadre de la géométrie non commutative.Tout d'abord, nous présentons les principales notions abordées : les opérateurs de Toeplitz (classiques et généralisés), les quantifications géométrique et par déformation, ainsi que quelques outils de la géométrie non commutative.La première étape de ces travaux a été de construire des triplets spectraux (A,H,D) utilisant des algèbres d'opérateurs de Toeplitz sur les espaces de Hardy et Bergman pondérés relatifs à des ouverts Omega de Cn à bord régulier et stric

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30

Pasqua, Michael. "Batalin-Vilkovisky quantization method with applications to gauge fixing." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/17071/.

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In una serie di articoli pubblicati tra il 1981 e il 1983, Igor Batalin e Grigory Vilkovisky svilupparono una procedura per quantizzare le teorie di gauge tramite un approccio basato sull’integrazione funzionale. Al giorno d’oggi questo è considerato il metodo più potente per la quantizzazione delle teorie di gauge. Lo scopo di questa tesi è l’applicazione del formalism BV ad alcune teorie di campo quantistiche topologiche di tipo Schwarz. E’ presentata una formulazione BV della celebre teoria di Chern-Simons, la quale fu la prima teoria di campo quantistica topologica ad essere studiata da W

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31

Bernard, Benjamin. "On the Quantization Problem in Curved Space." Wright State University / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=wright1344829165.

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32

Gunturk, Kamil Serkan. "Covariant Weyl quantization, symbolic calculus, and the product formula." Texas A&M University, 2003. http://hdl.handle.net/1969.1/3963.

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A covariant Wigner-Weyl quantization formalism on the manifold that uses pseudo-differential operators is proposed. The asymptotic product formula that leads to the symbol calculus in the presence of gauge and gravitational fields is presented. The new definition is used to get covariant differential operators from momentum polynomial symbols. A covariant Wigner function is defined and shown to give gauge-invariant results for the Landau problem. An example of the covariant Wigner function on the 2-sphere is also included.

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33

Gosselin, Pierre. "Espace de Wiener et théorie bidimensionnelle des champs." Université Louis Pasteur (Strasbourg) (1971-2008), 1996. http://www.theses.fr/1996STR13226.

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Cette these se situe a la rencontre de la theorie des champs et du calcul stochastique. Nous decrivons en termes de distributions sur l'espace de wiener certains objets de la theorie des champs tels que les operateurs vertex et le champ bosonique. Nous etudions egalement une action inedite du groupe des diffeomorphismes sur l'espace de wiener. Ainsi, a l'aide des formules d'integration par partie de cameron-martin, on obtient de facon rigoureuse une representation de l'algebre de virasoro. Cette representation s'interprete en terme de changement de temps et d'operateur de toeplitz. Par ailleur

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34

López, Guillermo Enrique Alemán. "Estudo de geometria diferencial de superfície com aplicações para construção de mecânica quântica de partícula em coordenadas curvilíneas e no espaço curvo." Universidade Federal de Juiz de Fora (UFJF), 2018. https://repositorio.ufjf.br/jspui/handle/ufjf/7877.

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Le, Floch Yohann. "Théorie spectrale inverse pour les opérateurs de Toeplitz 1D." Phd thesis, Université Rennes 1, 2014. http://tel.archives-ouvertes.fr/tel-01065441.

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Dans cette thèse, nous prouvons des résultats de théorie spectrale, directe et inverse, dans la limite semi-classique, pour les opérateurs de Toeplitz autoadjoints sur les surfaces. Pour les opérateurs pseudo-différentiels, les résultats en question sont déjà connus, et il est naturel de vouloir les étendre aux opérateurs de Toeplitz. Les conditions de Bohr-Sommerfeld usuelles, qui caractérisent les valeurs propres proches d'une valeur régulière du symbole principal, ont été obtenues il y a quelques années seulement pour les opérateurs de Toeplitz. Notre contribution consiste en l'extension de

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Nikoofard, Vahid. "Some considerations about field theories in commutative and noncommutative spaces." Universidade Federal de Juiz de Fora (UFJF), 2015. https://repositorio.ufjf.br/jspui/handle/ufjf/3057.

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Bakke, Filho Knut. "Fases geométricas, quantização de Landau e computação quâantica holonômica para partículas neutras na presença de defeitos topológicos." Universidade Federal da Paraíba, 2009. http://tede.biblioteca.ufpb.br:8080/handle/tede/5724.

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Made available in DSpace on 2015-05-14T12:14:06Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1577961 bytes, checksum: c71d976d783495df566e0fa6baadf8ca (MD5) Previous issue date: 2009-08-06<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>We start this work studying the appearance of geometric quantum phases as in the relativistic as in the non-relativistic quantum dynamics of a neutral particle with permanent magnetic and electric dipole moment which interacts with external electric and magnetic fields in the presence of linear topological defects. We describe

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Van, De Ven Christiaan Jozef Farielda. "Quantum Systems and their Classical Limit A C*- Algebraic Approach." Doctoral thesis, Università degli studi di Trento, 2021. http://hdl.handle.net/11572/324358.

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In this thesis we develop a mathematically rigorous framework of the so-called ''classical limit'' of quantum systems and their semi-classical properties. Our methods are based on the theory of strict, also called C*- algebraic deformation quantization. Since this C*-algebraic approach encapsulates both quantum as classical theory in one single framework, it provides, in particular, an excellent setting for studying natural emergent phenomena like spontaneous symmetry breaking (SSB) and phase transitions typically showing up in the classical limit of quantum theories. To this end, several tech

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Mazzoni, Michele. "A fibre bundle approach to U(1) symmetries in physics." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/16776/.

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In questa tesi si utilizza il formalismo dei fibrati principali per descrivere le propriet`a topologiche globali di sistemi fisici classici e quantistici che presentano simmetrie legate all’azione del gruppo U(1). Nel primo capitolo `e contenuta una esposizione della teoria matematica dei fibrati, con un particolare riguardo ai fibrati principali ed alle strutture differenziali definibili su di essi (forme differenziali di connessione e curvatura). Nel secondo capitolo si impiega il formalismo precedentemente sviluppato per trattare le propriet`a del monopolo magnetico di Dirac e si otti

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Spinnler, Florian. "Star-exponential of normal j-groups and adapted Fourier transform." Doctoral thesis, Universite Libre de Bruxelles, 2015. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209089.

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This thesis provides the explicit expression of the star-exponential for the action of normal j-groups on their coadjoint orbits, and of the so-called modified star-exponential defined by Gayral et al. Using this modified star-exponential as the kernel of a functional transform between the group and its coadjoint orbits yields an adapted Fourier transform which is also detailed here. The normal j-groups arise in the work of Pytatetskii-Shapiro, who established the one-to-one correspondence with homogeneous bounded domains of the complex space; these groups are also the central element of the d

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Marie, Valentin. "représentations projectives et groupes quantiques localement compacts." Electronic Thesis or Diss., Reims, 2024. http://www.theses.fr/2024REIMS012.

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Cette thèse exploite un résultat de De Commer pour produire des groupes quantiques localement compacts (au sens des algèbres de von Neumann) à partir d'un groupe classique. Il s'agit de déformer la bigèbre de von Neumann d'un groupe localement compact à l'aide d'un opérateur de convolution (2-cocycle dual unitaire). L'objectif principal de cette thèse est de construire de tels 2-cocycles duaux, en généralisant au cas des représentations projectives un articlede Bieliavsky, Gayral, Neshveyev, Tuset.Les groupes nous intéressant sont des produits semi-directs devant vérifier la condition dite d'o

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Bergstedt, Viktor. "Spacetime as a Hamiltonian Orbit and Geroch's Theorem on the Existence of Fermions." Thesis, Uppsala universitet, Institutionen för fysik och astronomi, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-432488.

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Over a century since its inception, general relativity continues to lie at the heart of some of the most researched topics in theoretical physics. It seems likely that the coveted solutions to problems like quantum gravity are to be found in an extension of general relativity, one which may only be visible in an alternate formulation of the theory. In this thesis we consider the possibility of casting general relativity in the form of an initial value problem where spacetime is seen as the evolution of space. This evolution is shown to be constrained and of Hamiltonian type. Not all spacetim

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Shang, Lei, and lei shang@ieee org. "Modelling of Mobile Fading Channels with Fading Mitigation Techniques." RMIT University. Electrical and Computer Engineering, 2006. http://adt.lib.rmit.edu.au/adt/public/adt-VIT20061222.113303.

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This thesis aims to contribute to the developments of wireless communication systems. The work generally consists of three parts: the first part is a discussion on general digital communication systems, the second part focuses on wireless channel modelling and fading mitigation techniques, and in the third part we discuss the possible application of advanced digital signal processing, especially time-frequency representation and blind source separation, to wireless communication systems. The first part considers general digital communication systems which will be incorporated i

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Skerritt, Paul Michael. "Geometric Quantization and Foliation Reduction." Thesis, 2013. https://thesis.library.caltech.edu/7898/1/paul_skerritt_2013_thesis.pdf.

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<p>A standard question in the study of geometric quantization is whether symplectic reduction interacts nicely with the quantized theory, and in particular whether “quantization commutes with reduction.” Guillemin and Sternberg first proposed this question, and answered it in the affirmative for the case of a free action of a compact Lie group on a compact Kähler manifold. Subsequent work has focused mainly on extending their proof to non-free actions and non-Kähler manifolds. For realistic physical examples, however, it is desirable to have a proof which also applies to non-compac

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Shu, Tzuu-Jye, and 舒祖傑. "An Efficient Geometric Algorithm for Color Image Quantization." Thesis, 1994. http://ndltd.ncl.edu.tw/handle/09365247017085131888.

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碩士<br>國立交通大學<br>資訊科學學系<br>82<br>In RGB true color system, we use 3 bytes to represent the color of each pixel and there are 16777216 different colors in the system. But most images contain only a small subset of the sixteen million colors. It is enough to represent those images by small number of colors and using true color space is expensive and unnecessary. The process of selecting a small number of representative colors from an image of higher color resolution is called color image quan

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Lavu, Sridhar. "Three-dimensional geometric coding using mixture models and the estimation quantization algorithm." Thesis, 2003. http://hdl.handle.net/1911/17603.

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3D surfaces are used in applications such as animations, 3D object modeling and visualization. The geometries of such surfaces are often approximated using polygonal meshes. This thesis aims to compress 3D geometry meshes by using an algorithm based on normal meshes and the Estimation-Quantization (EQ) algorithm. Normal meshes are multilevel representations where finer level vertices lie in a direction normal to the local surface and therefore compress the vertex data to one scalar value per vertex. A mixture distribution model is used for the wavelet coefficients. The EQ algorithm uses the lo

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Wang, Yi-Chia, and 王翊嘉. "An Image Retrieval against Geometric Process Based on Vector Quantization Four-ary Tree and Affine Invariant Region." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/55047112547479671572.

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碩士<br>朝陽科技大學<br>資訊管理系碩士班<br>97<br>Since the development of information technology and IT product price lower to result in 3C products such as: camera mobiles, digital cameras, and so on…widely using in people’s daily life. A lot of digital images are recorded and saved by using these IT products. People will use these images in many domains, such as: blog, digital archives, and so on… But it is difficult to manage when user has a large number of images. They classify the images by habits or understand to manage or seek these images at personal users. But how to efficiently and effectively to f

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Aubin-Cadot, Noé. "Introduction à quelques aspects de quantification géométrique." Thèse, 2013. http://hdl.handle.net/1866/10704.

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On révise les prérequis de géométrie différentielle nécessaires à une première approche de la théorie de la quantification géométrique, c'est-à-dire des notions de base en géométrie symplectique, des notions de groupes et d'algèbres de Lie, d'action d'un groupe de Lie, de G-fibré principal, de connexion, de fibré associé et de structure presque-complexe. Ceci mène à une étude plus approfondie des fibrés en droites hermitiens, dont une condition d'existence de fibré préquantique sur une variété symplectique. Avec ces outils en main, nous commençons ensuite l'étude de la quantification géométriq

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McBride, Matthew Scott. "D-bar and Dirac Type Operators on Classical and Quantum Domains." 2012. http://hdl.handle.net/1805/2931.

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Indiana University-Purdue University Indianapolis (IUPUI)<br>I study d-bar and Dirac operators on classical and quantum domains subject to the APS boundary conditions, APS like boundary conditions, and other types of global boundary conditions. Moreover, the inverse or inverse modulo compact operators to these operators are computed. These inverses/parametrices are also shown to be bounded and are also shown to be compact, if possible. Also the index of some of the d-bar operators are computed when it doesn't have trivial index. Finally a certain type of limit statement can be said bet

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Fuchs, Shay. "Spin-c Quantization, Prequantization and Cutting." Thesis, 2008. http://hdl.handle.net/1807/11205.

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In this thesis we extend Lerman’s cutting construction to spin-c structures. Every spin-c structure on an even-dimensional Riemannian manifold gives rise to a Dirac operator D+ acting on sections of the associated spinor bundle. The spin-c quantization of a spin-c manifold is defined to be ker(D+)−coker(D+). It is a virtual vector space, and in the presence of a Lie group action, it is a virtual representation. In 2004, Guillemin et al defined signature quantization and showed that it is additive under cutting. We prove that the spin-c quantization of an S^1-manifold is also additive under cut

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