Hamilton-Jacobi approach for first order actions and theories with higher derivatives

In this work, we analyze systems described by Lagrangians with higher order derivatives in the context of the Hamilton-Jacobi formalism for first order actions. Two different approaches are studied here: the first one is analogous to the description of theories with higher derivatives in the hamiltonian formalism according to [D.M. Gitman, S.L. Lyakhovich, I.V. Tyutin, Soviet Phys. J. 26 (1983) 730; D.M. Gitman, I.V. Tyutin, Quantization of Fields with Constraints, Springer-Verlag, New York, Berlin, 1990] the second treats the case where degenerate coordinate are present, in an analogy to reference [D.M. Gitman, I.V. Tyutin, Nucl. Phys. B 630 (2002) 509]. Several examples are analyzed where a comparison between both approaches is made. (C) 2007 Elsevier B.V. All rights reserved.

General relativity in two dimensions: A Hamilton-Jacobi analysis

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Two-dimensional background field gravity: A Hamilton-Jacobi analysis

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

Formalismo de Hamilton-Jacobi à la Carathéodory

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

Formalismo de Hamilton-Jacobi à la Carathéodory. Parte 2: sistemas singulares

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Desenvolvimento de Rhapis excelsa (Thunberg) Henry Ex. Rehder (Palmeira-Ráfia): Influência da altura do recipiente na formação de mudas

Rhapis excelsa, originária do sul da China, é uma das palmeiras ornamentais mais cultivadas no mundo, principalmente em vaso. Objetivou-se com esta pesquisa investigar a influência da altura do vaso no desenvolvimento da espécie. Para tanto, mudas de dois anos de idade, apresentando 10 cm de altura e sistema radicular com 10 cm de comprimento, foram transplantadas para recipientes de PVC com 10 cm de diâmetro e 20, 25, 30, 35 e 40 cm de altura, que se constituíram em tratamentos. O substrato utilizado foi uma mistura de casca de pinho, vermiculita e solo argiloso (2:1:1), adubado com 45 g de Osmocote (15:10:10). Os parâmetros avaliados foram: altura da planta, diâmetro do colo, número de folhas, número de perfilhos emitidos, avaliados aos 6, 12 e 18 meses após a instalação do experimento. Aos 18 meses foram tomados também o peso da matéria seca da parte aérea e o peso da matéria seca das raízes. O delineamento experimental foi inteiramente casualizado, com cinco repetições com duas plantas. Houve diferença significativa para a variável altura de plantas, aos 6 meses, sendo que o recipiente de 40 cm de altura apresentou o pior resultado. Não houve diferença significativa entre as variáveis analisadas aos 12 meses de investigação. Já aos 18 meses, houve diferenças significativas entre os tratamentos para as variáveis altura da planta e diâmetro do colo, sendo o recipiente de 40 cm inferior aos demais em relação à altura da planta e o de 25 cm superior quanto ao diâmetro do colo. A utilização do recipiente com 25 cm de altura revelou-se interessante pela qualidade das plantas formadas e em relação a aspectos econômicos da produção.

Hamilton-Jacobi formulation for singular systems with second-order Lagrangians

Recently, the Hamilton-Jacobi formulation for first-order constrained systems has been developed. In such formalism the equations of motion are written as total differential equations in many variables. We generalize the Hamilton-Jacobi formulation for singular systems with second-order Lagrangians and apply this new formulation to Podolsky electrodynamics, comparing with the results obtained through Dirac's method.

On the quantum Hamilton-Jacobi formalism

Some postulates are introduced to go from the classical Hamilton-Jacobi theory to the quantum one. We develop two approaches in order to calculate propagators, establishing the connection between them and showing the equivalence of this picture with more known ones such as the Schrödinger's and the Feynman's formalisms. Applications of the above-mentioned approaches to both the standard case of the harmonic oscillator and to the harmonic oscillator with time-dependent parameters are made. © 1991 Plenum Publishing Corporation.

Pelecitus helicinus Railliet & Henry, 1910 (Filarioidea, Dirofilariinae) and other nematode parasites of Brazilian birds

We report Pelecitus helicinus Railliet & Henry, 1910 from 13 species of birds of 2 orders and 7 families, collected from the states of São Paulo and Mato Grosso, Brazil. All 13 constitute new host records for this nematode. In addition, we report the first record of Aprocta golvani Diaz-Ungria, 1963 from Brazil and Monasa nigrifrons (Bucconidae), as well as a number of other nematode records from Neotropical birds.

Hamilton-Jacobi formalism on the null-plane: Applications

In this work we discuss the Hamilton-Jacobi formalism for fields on the null-plane. The Real Scalar Field in (1+1) - dimensions is studied since in it lays crucial points that are presented in more structured fields as the Electromagnetic case. The Hamilton-Jacobi formalism leads to the equations of motion for these systems after computing their respective Generalized Brackets. Copyright © owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.

Topologically massive yang-mills field on the null-plane: A hamilton-jacobi approach

Non-abelian gauge theories are super-renormalizable in 2+1 dimensions and suffer from infrared divergences. These divergences can be avoided by adding a Chern-Simons term, i.e., building a Topologically Massive Theory. In this sense, we are interested in the study of the Topologically Massive Yang-Mills theory on the Null-Plane. Since this is a gauge theory, we need to analyze its constraint structure which is done with the Hamilton-Jacobi formalism. We are able to find the complete set of Hamiltonian densities, and build the Generalized Brackets of the theory. With the GB we obtain a set of involutive Hamiltonian densities, generators of the evolution of the system. © 2010 American Institute of Physics.

Hamilton-Jacobi formalism to Podolsky electromagnetic theory on the null-plane

In this work we develop the Hamilton - Jacobi formalism to study the Podolsky electromagnetic theory on the null-plane coordinates. We calculate the generators of the Podolsky theory and check the integrability conditions. Appropriate boundary conditions are introduced to assure uniqueness of the Green functions associated to the differential operators. Non-involutive constraints in the Hamilton-Jacobi formalism are eliminated by constructing their respective generalized brackets. © 2013 American Institute of Physics.

Formalismo de Hamilton-Jacobi para sistemas singulares

Pós-graduação em Física - IFT

Espaço e focalização em The ambassadors, de Henry James

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)