Projective Fourier duality and Weyl quantization

The Weyl-Wigner correspondence prescription, which makes great use of Fourier duality, is reexamined from the point of view of Kac algebras, the most general background for noncommutative Fourier analysis allowing for that property. It is shown how the standard Kac structure has to be extended in order to accommodate the physical requirements. Both an Abelian and a symmetric projective Kac algebra are shown to provide, in close parallel to the standard case, a new dual framework and a well-defined notion of projective Fourier duality for the group of translations on the plane. The Weyl formula arises naturally as an irreducible component of the duality mapping between these projective algebras.

Duality of osculating developables of projective curves

We give a description of the dual varieties of all developables of osculating linear spaces to a projective curve in terms of the higher order dual varieties of the curve, in arbitrary characteristic. We also determine for these varieties the inseparable degrees of the projections from the conormal varieties onto their dual varieties.

Saúde mental no Programa de Saúde da Família: conceitos dos agentes comunitários sobre o transtorno mental

Este estudo objetivou identificar as representações sociais de agentes comunitários de uma unidade de Programa Saúde da Família sobre o transtorno mental. Optamos pela pesquisa qualitativa, utilizando o estudo de caso. Para a coleta de dados, recorremos à entrevista semi-estruturada, enriquecida pelo uso de Técnica Projetiva, e à análise temática para analisar o material obtido. Os resultados evidenciam representações sociais ancoradas no paradigma psiquiátrico tradicional. Esse considera a pessoa acometida pelo transtorno mental passiva, sem condições de protagonizar os próprios caminhos que, por sua vez, são marcados pelo preconceito. Desse modo, denota-se a grande necessidade de investimento na capacitação em saúde mental, junto aos atores do cenário da assistência do Programa de Saúde da Família. de acordo com o estudo, tal investimento contribuirá para a efetivação de práticas e construção de novos saberes, contribuindo para a melhoria da assistência em saúde.

Era uma vez... contos de fadas e psicodrama auxiliando alunos na conclusão do curso médico

O término do curso representa um período especialmente estressante para estudantes de Medicina, colocando-os perante diversas angústias: deixar de ser aluno, ter novas responsabilidades e enfrentar o exame de residência. Com o intuito de auxiliá-los nesta fase, foi desenvolvida na Faculdade de Medicina de Botucatu (FMB) uma série de estratégias de acolhimento para os estudantes. Este trabalho descreve uma atividade na qual se utilizou o Psicodrama como facilitador da expressão dos sentimentos e emoções experimentadas ao final do curso. Por dois anos consecutivos foram realizadas sessões de Sociodrama com o conjunto dos alunos do 6º ano do curso médico da FMB. Utilizaram-se Contos de Fadas como recurso para que os estudantes identificassem sua trajetória na instituição e o momento que estavam vivendo. A dramatização dos contos possibilitou a troca de experiências entre os alunos e o acolhimento de suas angústias, muitas delas coletivas e próprias daquele contexto. A análise dos contos privilegiou aspectos projetivos grupais, concluindo na direção da necessidade de mais espaços de encontro e troca entre professores e alunos.

Conformal Klein-Gordon equations and quasinormal modes

Using conformal coordinates associated with conformal relativity-associated with de Sitter spacetime homeomorphic projection into Minkowski spacetime-we obtain a conformal Klein-Gordon partial differential equation, which is intimately related to the production of quasi-normal modes (QNMs) oscillations, in the context of electromagnetic and/or gravitational perturbations around, e.g., black holes. While QNMs arise as the solution of a wave-like equation with a Poschl-Teller potential, here we deduce and analytically solve a conformal 'radial' d'Alembert-like equation, from which we derive QNMs formal solutions, in a proposed alternative to more completely describe QNMs. As a by-product we show that this 'radial' equation can be identified with a Schrodinger-like equation in which the potential is exactly the second Poschl-Teller potential, and it can shed some new light on the investigations concerning QNMs.

A new proposal for the picture changing operators in the minimal pure spinor formalism

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Contribuições das técnicas projetivas gráficas para a compreensão da personalidade de andarilhos de estrada

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Exact dynamics of single-qubit-gate fidelities under the measurement-based quantum computation scheme

Measurement-based quantum computation is an efficient model to perform universal computation. Nevertheless, theoretical questions have been raised, mainly with respect to realistic noise conditions. In order to shed some light on this issue, we evaluate the exact dynamics of some single-qubit-gate fidelities using the measurement-based quantum computation scheme when the qubits which are used as a resource interact with a common dephasing environment. We report a necessary condition for the fidelity dynamics of a general pure N-qubit state, interacting with this type of error channel, to present an oscillatory behavior, and we show that for the initial canonical cluster state, the fidelity oscillates as a function of time. This state fidelity oscillatory behavior brings significant variations to the values of the computational results of a generic gate acting on that state depending on the instants we choose to apply our set of projective measurements. As we shall see, considering some specific gates that are frequently found in the literature, the fast application of the set of projective measurements does not necessarily imply high gate fidelity, and likewise the slow application thereof does not necessarily imply low gate fidelity. Our condition for the occurrence of the fidelity oscillatory behavior shows that the oscillation presented by the cluster state is due exclusively to its initial geometry. Other states that can be used as resources for measurement-based quantum computation can present the same initial geometrical condition. Therefore, it is very important for the present scheme to know when the fidelity of a particular resource state will oscillate in time and, if this is the case, what are the best times to perform the measurements.

On the geometry of non-classical curves

In this paper we relate the numerical invariants attached to a projective curve, called the order sequence of the curve, to the geometry of the varieties of tangent linear spaces to the curve and to the Gauss maps of the curve. © 1992 Sociedade Brasileira de Matemática.

Higher-dimensional twistor transforms using pure spinors

Hughston has shown that projective pure spinors can be used to construct massless solutions in higher dimensions, generalizing the four-dimensional twistor transform of Penrose. In any even (euclidean) dimension d = 2n, projective pure spinors parameterize the coset space SO(2n)/U(n), which is the space of all complex structures on ℝ2n. For d = 4 and d = 6, these spaces are ℂℙ1 and ℂℙ3 and the appropriate twistor transforms can easily be constructed. In this paper, we show how to construct the twistor transform for d > 6 when the pure spinor satisfies nonlinear constraints, and present explicit formulas for solutions of the massless field equations. © SISSA/ISAS 2005.

Geometrical wave equation and the cauchy-like theorem for octonions

Riemann surfaces, cohomology and homology groups, Cartan's spinors and triality, octonionic projective geometry, are all well supported by Complex Structures [1], [2], [3], [4]. Furthermore, in Theoretical Physics, mainly in General Relativity, Supersymmetry and Particle Physics, Complex Theory Plays a Key Role [5], [6], [7], [8]. In this context it is expected that generalizations of concepts and main results from the Classical Complex Theory, like conformal and quasiconformal mappings [9], [10] in both quaternionic and octonionic algebra, may be useful for other fields of research, as for graphical computing enviromment [11]. In this Note, following recent works by the autors [12], [13], the Cauchy Theorem will be extended for Octonions in an analogous way that it has recentely been made for quaternions [14]. Finally, will be given an octonionic treatment of the wave equation, which means a wave produced by a hyper-string with initial conditions similar to the one-dimensional case.

Aspectos psicossociais da gravidez na adolescência: relatos de mães adolescentes

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Sequências espectrais e aplicações aos cálculos de cohomologias de espaços fibrados

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Geometria e topologia das superfícies através de recorte e colagem

Pós-graduação em Matemática Universitária - IGCE

Tópicos da geometria projetiva

Pós-graduação em Matemática Universitária - IGCE