Submitted by MARCO ANTONIO MOYA ROSAS null (23689400813) on 2016-06-08T23:48:22Z No. of bitstreams: 1 Marco.pdf: 3930307 bytes, checksum: fa27a7c6ffca34b6c67e9ba1944a88be (MD5) / Approved for entry into archive by Juliano Benedito Ferreira (julianoferreira@reitoria.unesp.br) on 2016-06-13T14:55:05Z (GMT) No. of bitstreams: 1 rosas_mm_me_rcla.pdf: 3930307 bytes, checksum: fa27a7c6ffca34b6c67e9ba1944a88be (MD5) / Made available in DSpace on 2016-06-13T14:55:05Z (GMT). No. of bitstreams: 1 rosas_mm_me_rcla.pdf: 3930307 bytes, checksum: fa27a7c6ffca34b6c67e9ba1944a88be (MD5) Previous issue date: 2016-04-28 / Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) / Neste trabalho, analisaremos o problema de boa colocação do problema de valor inicial para a equação semilinear do calor. Mostraremos a existência de solução global mild, quando o dado inicial u_0 pertence ao espaço L^( n(ρ−1) /2) −fraco e tem norma suficientemente pequena. / In this work, we discuss the well−posedness of the initial value problem for the semilinear heat equation. We show the existence of global mild solution, when the initial data u_0 belong to weak L^(n(ρ−1)/ 2) space with a sufficiently small norm.

Conselho Nacional de Desenvolvimento CientÃfico e TecnolÃgico / CoordenaÃÃo de AperfeÃoamento de Pessoal de NÃvel Superior / Neste trabalho iremos apresentar alguns aspectos de gravitaÃÃo quÃntica. Introduzimos o problema da gravitaÃÃo e algumas propostas para atacÃ-lo. Em particular, nossas investigaÃÃes tocam trÃs temÃticas gerais: geometria nÃo-comutativa, violaÃÃo da simetria de Lorentz e cosmologia inflacionÃria. Em geometria comutativa fizemos duas propostas distintas para possÃveis limitaÃÃes experimentais: em uma calculamos a luminosidade de um buraco-negro modelando o seu horizonte de eventos por um espaÃo nÃo-comutativo; e na outra calculamos as propriedades termodinÃmicas do grafeno na presenÃa de um campo magnÃtico, verificando a influÃncia da nÃo-comutatividade. No que toca a quebra da simetria de Lorentz, mostramos a viabilidade fÃsica de cenÃrios de dimensÃes extras, atravÃs do cÃlculo da massa do grÃviton na teoria efetiva quadridimensional. TambÃm calculamos a influÃncia da quebra de simetria no setor gravitacional em quatro dimensÃes, atravÃs de correÃÃes quÃnticas ao potencial gravitacional. Finalmente, em cosmologia apresentamos um estudo preliminar sobre o problema da medida, que se relaciona com a probabilidade de que se tenha o processo de inflaÃÃo independente das condiÃÃes iniciais do sistema. Propusemos usar a formulaÃÃo Hamiltoniana para o cÃlculo dessa probabilidade em um sistema onde o campo escalar à acoplado nÃo-minimamente ao campo gravitacional, e assim verificar a viabilidade do modelo quando confrontado com dados observacionais. / In this work we will present some aspects from quantum gravity. We introduce the problem of quantum gravity and some proposals to tackle it. In particular, our investigations touch upon three general subjects: noncommutative geometry, violations of Lorentz symmetry and inflationary cosmology. In noncommutative geometry we made two proposals for possible experimental verifications: in the former we calculate the luminosity of spherically symmetric black-hole where its event horizon was modelled by a noncommutative space; in the latter we investigate the thermodynamical properties of the graphene in the presence of a magnetic field, verifying the influence of the noncommutativity. Regarding the Lorentz symmetry violation we showed its physical viability of extra-dimensional scenarios, by calculating the graviton mass in the four-dimensional effective theory. We also calculate the influence of the Lorentz symmetry breaking in the gravitational sector in four dimensions, by means of quantum corrections to the Newtonian potential. Finally, in cosmology we present a preliminar study on the measure problem, which is related to how natural the inflationary process is. We propose using the Hamiltonian formulation for evaluating the probability of inflation in a scenario where the scalar field describing the inflation is non-minimally coupled to the gravitational field, finding the the viability of this particular model when compared to observed data.

Made available in DSpace on 2016-08-18T18:19:29Z (GMT). No. of bitstreams: 1 fernando moucherek.pdf: 338779 bytes, checksum: b2cb977406951d20096081bf000e7975 (MD5) Previous issue date: 2006-10-20 / In this work, one searchs to investigate the influence of violating terms of Lorentz and CPT (in "vectorial"and "axial"couplings ) on the equation of Dirac, and its non-relativistic limit. Firstly, its solutions of wave-planes, relation of dispersion and eigenvalues are gotten. After that, the limit of low energies is worked and determined the non-relativistic Hamiltonian. In the case of the vectorial coupling, the breaking terms do not induce any modification on the spectrum of hydrogen (in the presence or absence of external magnetic field), what it is in accordance with the fact of this background only to determine the displacement at the momentum of the system. In the case of the pseudo-vectorial coupling, however, the non-relativistic Hamiltonian possesss a term that modifies the spectrum, inducing an alteration of energy similar to Zeeman effect (in the absence of external magnetic field). Such effect is then used to establish the upper limit on the magnitude of background:bz < 10¡10eV . In the second part of this work, is analyzed the influence of a fixed background, violating of Lorentz, in a non-minimum coupling on the sector of fermions, on the equation of Dirac. The non-relativistic regime is considered and the Hamiltonian accomplished. The effect of this Hamiltonian on the spectrum of hydrogen is determined in calculations of first order (in the absence of external magnetic field), revealing the presence of energy shifting that modifies the fine structure of the spectrum and makes possible the imposition of a upper limit on the breaking product:gvz < 10¡14(eV )¡1. In the presence of external magnetic field, a correction of energy also is gotten, implying in the limit:gvz < 10¡25(eV )¡1. In the case where the non-minimum coupling is of the type torsion, no first order correction is shown in the absence of external field; in the presence of a external field, a second Zeeman effect is observed, implying in:gvz < 10¡25(eV )¡1. Such results show that the effect of Lorentz violating can more significantly be investigated in way to the presence of a external field. / Neste trabalho, busca-se investigar a influência de termos violadores de Lorentz e CPT (em acoplamentos "vetoriais"e "axiais") sobre a equação de Dirac, e seu limite não-relativistico. Primeiramente, são obtidas as suas soluções de onda-plana, relação de dispersão e autovalores. Em seguida, o limite de baixas energias é trabalhado e o Hamiltoniano não-relativistico determinado. No caso do acoplamento vetorial, os ter- mos de violação não induzem qualquer modificação sobre o espectro do hidrogênio (na presença ou ausência de campo magnético externo), o que está de acordo com o fato deste background determinar apenas um deslocamento no momento do sistema. No caso do acoplamento pseudo-vetorial, entretanto, o Hamiltoniano não-relativistico possui um termo que modifica o espectro, induzindo uma alteração de energia similar ao efeito Zee- man (na ausência de campo magnético externo). Tal efeito é então usado para estabelecer um limite superior sobre a magnitude do background: bz < 10¡10eV Na segunda parte deste trabalho, é analisada a influência de um background bz xo, violador de Lorentz, em acoplamento não-minimo sobre o setor de férmions, sobre a equação de Dirac. O regime não-relativistico é considerado e o Hamiltoniano estabelecido. O efeito deste Hamiltoniano sobre o espectro do hidrogênio é determinado em cálculos de primeira ordem (na ausência de campo magnético externo), revelando a presença de desvios de energia que modificam a estrutura fina do espectro e possibilitam a imposição de um limite superior sobre o produto de violação: gvz < 10¡14(eV )¡1. Na presença de campo magnético externo, uma correção de energia é também obtida, implicando no limite:gvz < 10¡25(eV )¡1.No caso em que o acoplamento não-minimo é do tipo torção, nenhuma correção de primeira ordem é exibida na ausência de campo externo; na presença de um campo externo, um segundo efeito Zeeman é observado, implicando emgvz < 10¡25(eV )¡1. Tais resultados mostram que o efeito de violação de Lorentz pode ser mais sensivelmente investigado em meio à presença de um campo externo.

Neste trabalho apresentamos uma classificação das hipersuperfícies regradas e de Weingarten no espaço hiperbólico. / In this work we provide a classification for ruled and Weingarten hypersurfaces in hyperbolic space.

Neste trabalho, introduzimos a teoria invariante e equivariante para a ação do grupo de Lorentz no espaço de Minkowski. Na teoria clássica, muitos resultados são válidos somente para a ação de grupos compactos em espaços Euclideanos. Continuamos o estudo para alguns subgrupos de Lorentz compactos e apresentamos uma forma de calcular as involuções de Lorentz em O(n;1). Fazemos uma empolgante discussão sobre uma classe de matrizes centrossimétricas polinomiais com aplicações em teoria invariante, estabelecendo um rumo para a pesquisa em subgrupos de Lorentz não compactos. Por fim, apresentamos alguns resultados da teoria equivariante para subgrupos de Lorentz. / In this work, we introduce the invariant and equivariant theory for the Lorentz group on the Minkowski space. In the classical theory, many results are valid only for compact groups on Euclidean spaces. We continue the study of some compact Lorentz subgroups and present a way of calculating the Lorentz involutions in O(n;1). We make an exciting discussion about a class of polynomial centrosymmetric matrices with applications in invariant theory, setting a course for research in non-compact Lorentz groups. Finally, we present some results for the equivariant theory of Lorentz subgroups.

Bien que les propriétés de l'antimatière soit largement testées dans le secteur faible, fort et électromagnétique, la question de la gravitation pour ces objets reste ouverte. En observant la chute libre d'atomes d'anti-hydrogène, l'expérience AEGIS prévoit de mesurer pour lapremière fois l'accéleration gravitationelle pour l'antimatière. Le dispositif prévu pour cette mesure se compose de trois réseaux en transmission et d'un détecteur possèdant une haute résolution spatiale. Le travail de cette thèse se concentre sur la caractérisation d'un tel dispositif avec une source d'ions de basse énergie, permettant de mesurer simultanément les champs électriques et magnétiques environnant. La sensibilité atteinte en font un dispositif compétitif avec les meilleurs appareils disponibles. Une attention particulière est également portée sur l'implémentation de l'expérience avec des réseaux de pas plus fin, afin de mettre en évidence l'interférence quantique des ions. Les effets qui pourraient réduire le contraste des franges d'interférences sont passés en revue et discutés. Enfin, la réalisation d'une ligne de faisceau capable de sélectionner des particules de basse énergie et l'intégration d'un détecteur silicium dédié à la détection d'antiprotons est détaillée dans le but de réaliser pour la première fois l'interférence de particules d'antimatière / Although numerous experiments investigate the properties of antimatter in the weak, strong and electromagnetic sector, the gravitational interaction for these objects remains an open question. By observing the free-fall of antihydrogen atoms, the AEGIS experiment plans toperform the first measurement of the gravitational acceleration on antimatter. The device envisioned for such an experiment consists in a set of three transmission gratings with a pitch of few micrometers, associated with a high resolution imaging detector. This thesis focuses on testing such a device with a low-energy ion beam, enabling one to measure simultaneously the magnitude of surrounding electric and magnetic fields. The sensitivity achieved makes such an apparatus competitive with state-of-the-art fieldmeters. An effort is moreover initiated to perform the same experiment with smaller grating periodicities since it could reveal the quantum interference of the ions. In order to probe the quantum behavior of protons, the effects which might destroy the interference pattern are reviewed and discussed. We finally detail the implementation of a velocity selector and a silicon detector dedicated to low energy antiprotons. These two components are indeed a prerequisite to perform for the first time theinterference of antimatter particles

The search for a theory of quantum gravity has persisted through the last century. Although many beautiful theories such as string theory and loop quantum gravity have been proposed, experimental evidence to support or refute these theories has been difficult to obtain. Searching for Lorentz invariance violation (LIV) is one of a limited number of experimental tests which can be used to search for evidence of quantum gravity since new physics may only be observable at energies well beyond those present in the most energetic astrophysical objects, which are far greater than the energies accessible in a terrestrial laboratory. One method of searching for LIV is to look for energy-dependent time delays in the arrival of high-energy photons from distant astrophysical sources. We search for Lorentz invariance violation (LIV) using VERITAS, an imaging atmospheric Cherenkov telescope (IACT) located in southern Arizona. Significant TeV gamma ray flaring activity was detected from the blazar Markarian 421 on the night of February 17, 2010 (MJD 55244), which presented a good opportunity to search for delays in the energetic emission. We demonstrate the performance of two different dispersion estimation algorithms and apply these algorithms to our data to search for LIV. We find that while the emission from Markarian 421 contains significant variability, a necessary condition for an LIV detection, the presence of a constant background flux severely limits our sensitivity. We expect our findings to be useful for guiding future LIV studies, especially those using IACT data. In the latter part of this work we discuss the alignment of ground-based gamma-ray telescopes and present a digital autocollimator which will be used in the alignment system of a next-generation IACT. The configuration of our autocollimator enables measurement of the angle formed between the planar surface of a distant reflector and the line of sight over a range of ±0.126° with a precision better than 5 arcsec. We present a detailed description of the instrument and its data acquisition software that was used during laboratory testing.

Lorentz forces provide a unique method for the control and mixing of gas flows without the physical intrusion of objects into the flow. Lorentz forces arise when an electric current is passed through a volume in the presence of a magnetic field. The interaction between the electric current and the electric and magnetic fields produces a body force which affects the flow. These forces have been investigated experimentally by other researchers and show promise as a way to accelerate combustion in diffusion flames by increasing the mixing rate of fuel and oxidant streams. Theoretical and numerical models were developed to gain insight into this process. Alkali metal seeding raises the electrical conductivity of a flame by two to three orders of magnitude. This has two significant effects: the Lorentz force becomes stronger for the same applied electric current and magnetic field, and the alkali seed concentration becomes a dominant factor in determining electrical conductivity of seeded gases. This makes electrical conductivity much easier to predict, and so the Lorentz body force produced is easier to determine. A theoretical basis for numerical modeling of reactive flows with variable body forces has been developed. Many issues are important in simulating gas flows. Conservation of chemical species must be carefully maintained. Mass transport by gaseous diffusion, which limits combustion rates in a diffusion flame, must be appropriately modeled. Viscous action is also important, since it promotes mixing of the fuel and oxidant streams. Convective, conductive, and diffusive transport of energy must be carefully treated since energy transport directly affects the fluid flow. A numerical model of an incompressible gas flow affected by Lorentz forces was written and tested. Although assumptions made in the model, such as isothermal conditions and uniform density, are not found in diffusion flames, the numerical model predicts velocity vector patterns similar to those observed in actual Lorentz force tests on diffusion flames. A simulation code for compressible, reactive gas flows which include Lorentz forces has also been written. Several parts of the model have been validated, and the approach used appears likely to produce successful simulations. Further validation studies will be required, however, before complete modeling of the diffusion flame can proceed. / Graduation date: 1995

No description available.

Die vorliegende Arbeit widmet sich der, vorwiegend experimentellen, Untersuchung der Wirkung wandparalleler Lorentzkräfte in Strömungsrichtung auf Grenzschichtprofile und Körperumströmungen. Die Themen - Beeinflussung der Grenzschicht an ebenen Platten mit stationären Lorentzkräften - Kontrolle von Strömungsablösungen an Zylindern und symmetrischen Profilen mit stationären Lorentzkräften - Beeinflussung von Zylindernachläufen und abgelösten Tragflügelumströmungen mit zeitlich periodischen Lorentzkräften werden behandelt.