Estudo da equação de Klein-Gordon linear

Pós-graduação em Matemática - IBILCE

Argumentos de Gordon no estudo espectral de operadores de Schrödinger unidimensionais

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Comportamento assintótico e controlabilidade exata para a equação de Klein-Gordon

Pós-graduação em Matemática - IBILCE

Fonte escalar acoplada ao campo de Klein-Gordon orbitando um objeto estelar

Neste trabalho determinamos, utilizando Teoria Quântica de Campos em nível de árvore, a radiação escalar emitida por uma fonte em movimento circular uniforme no espaço-tempo plano de Minkowski, assumindo Gravitação Newtoniana, e no espaço-tempo curvo de um buraco negro sem carga e com momento angular nulo, assumindo Relatividade Geral. Efetuamos este cálculo analiticamente para o caso de Minkowski e numericamente no âmbito do espaço-tempo de Schwarzschild, sendo que neste espaço-tempo curvo obtivemos a forma analítica e a normalização dos modos nas regiões assintóticas. Verificamos que, para as órbitas circulares estáveis de acordo com a Relatividade Geral, a potência irradiada no caso de um buraco negro de Schwarzschild é menor do que a obtida no espaço-tempo de Minkowski assumindo a Gravitação Newtoniana. Obtemos também que apenas uma pequena parcela da radiação emitida é absorvida pelo buraco negro. Verificamos que a diferença entre as potências irradiadas em Schwarzschild e Minkowski diminui na medida em que aumentamos o valor da massa do campo. Em Schwarzschild, uma parcela cada vez maior da radiação emitida é absorvida pelo buraco negro na medida em que aumentamos o valor da massa do campo.

Scalar source in circular motion interacting with massive klein-gordon field in Minkowski spacetime

We analyze the scalar radiation emitted by a source in uniform circular motion in Minkowski spacetime interacting with a massive Klein-Gordon field. We assume the source rotating around a central object due to a Newtonian force. By considering the canonical quantization of this field, we use perturbation theory to compute the radiation emitted at the tree level. Regarding the initial state of the field as being the Minkowski vacuum, we compute the emission amplitude for the rotating source, assuming it as being minimally coupled to the massive Klein-Gordon field. We then compute the power emitted by the swirling source as a function of its angular velocity, as measured by asymptotic static observers.

Constantes de Movimento para o Modelo Sinh-Gordon Supersimétrico N = 1 com Defeito

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Energy decay for the linear Klein-Gordon equation and boundary control

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

N=1 super sinh-Gordon model in the half line: breather solutions

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

Allometry for Sexual Size Dimorphism in Stoneflies Defies the Rensch's Rule

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Corroborating the equivalence between the Duffin-Kemmer-Petiau and the Klein-Gordon and Proca equations

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Fuzzy rule-based system for evaluation of uncertainty transaction in cassava chain

A fuzzy ruled-based system was developed in this study and resulted in an index indicating the level of uncertainty related to commercial transactions between cassava growers and their dealers. The fuzzy system was developed based on Transaction Cost Economics approach. The fuzzy system was developed from input variables regarding information sharing between grower and dealer on “Demand/purchase Forecasting”, “Production Forecasting” and “Production Innovation”. The output variable is the level of uncertainty regarding the transaction between seller and buyer agent, which may serve as a system for detecting inefficiencies. Evidences from 27 cassava growers registered in the Regional Development Offices of Tupa and Assis, São Paulo, Brazil, and 48 of their dealers supported the development of the system. The mathematical model indicated that 55% of the growers present a Very High level of uncertainty, 33% present Medium or High. The others present Low or Very Low level of uncertainty. From the model, simulations of external interferences can be implemented in order to improve the degree of uncertainty and, thus, lower transaction costs.

Type-II super-Backlund transformation and integrable defects for the N=1 super sinh-Gordon model

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

N=1 super sinh-Gordon model with defects revisited

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Metrics for Association Rule Clustering Assessment

Issues related to association mining have received attention, especially the ones aiming to discover and facilitate the search for interesting patterns. A promising approach, in this context, is the application of clustering in the pre-processing step. In this paper, eleven metrics are proposed to provide an assessment procedure in order to support the evaluation of this kind of approach. To propose the metrics, a subjective evaluation was done. The metrics are important since they provide criteria to: (a) analyze the methodologies, (b) identify their positive and negative aspects, (c) carry out comparisons among them and, therefore, (d) help the users to select the most suitable solution for their problems. Besides, the metrics do the users think about aspects related to the problems and provide a flexible way to solve them. Some experiments were done in order to present how the metrics can be used and their usefulness.

Heavy λ semileptonic decay: A QCD sum rule approach

In this work we calculate the form factors of the Lambda(c) and Lambda(b) semileptonic decay using the QCD sum rules approach. We found that the form factors sum rules are more stable than the respective mass sum rules, and we get a decay rate for Lambda(c) compatible with experiment.