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)

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.

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.

Formalismo de Hamilton-Jacobi para sistemas singulares

Pós-graduação em Física - IFT

Quantização de sistemas singulares via formalismo de Hamilton-Jacobi

Pós-graduação em Física - IFT

Estudo clássico completo do formalismo de Hamilton-Jacobi

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Formalismo de Hamilton-Jacobi generalizado: teorias de campos com derivadas de ordem superior

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Topologically massive Yang-Mills: A Hamilton-Jacobi constraint analysis

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

Estudo sobre a teoria de vínculos de Hamilton-Jacobi

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

On the generalized canonical equations of Hamilton for a time-dependent mass particle

Fundamental principles of mechanics were primarily conceived for constant mass systems. Since the pioneering works of Meshcherskii (see historical review in Mikhailov (Mech. Solids 10(5):32-40, 1975), efforts have been made in order to elaborate an adequate mathematical formalism for variable mass systems. This is a current research field in theoretical mechanics. In this paper, attention is focused on the derivation of the so-called 'generalized canonical equations of Hamilton' for a variable mass particle. The applied technique consists in the consideration of the mass variation process as a dissipative phenomenon. Kozlov's (Stek. Inst. Math 223:178-184, 1998) method, originally devoted to the derivation of the generalized canonical equations of Hamilton for dissipative systems, is accordingly extended to the scenario of variable mass systems. This is done by conveniently writing the flux of kinetic energy from or into the variable mass particle as a 'Rayleigh-like dissipation function'. Cayley (Proc. R Soc. Lond. 8:506-511, 1857) was the first scholar to propose such an analogy. A deeper discussion on this particular subject will be left for a future paper.

Rejoinder to James Hamilton

Hamilton (2001) makes a number of comments on our paper (Harding and Pagan, 2002b). The objectives of this rejoinder are, firstly, to note the areas in which we agree; secondly, to define with greater clarity the areas in which we disagree; and, thirdly, to point to other papers, including a longer version of this response, where we have dealt with some of the issues that he raises. The core of our debate with him is whether one should use an algorithm with a specified set of rules for determining the turning points in economic activity or whether one should use a parametric model that features latent states. Hamilton begins his criticism by stating that there is a philosophical distinction between the two methods for dating cycles and concludes that the method we use “leaves vague and intuitive exactly what this algorithm is intended to measure”. Nothing is further from the truth. When seeking ways to decide on whether a turning point has occurred it is always useful to ask the question, what is a recession? Common usage suggests that it is a decline in the level of economic activity that lasts for some time. For this reason it has become standard to describe a recession as a decline in GDP that lasts for more than two quarters. Finding periods in which quarterly GDP declined for two periods is exactly what our approach does. What is vague about this?

An interview with sound artist Guy Webster by Jillian Hamilton and Jeremy Yuille

Guy Webster is a sound artist who has been featured in numerous festivals, galleries, conferences and theatres in Australia, Japan, UK and Europe. As part of the Transmute Collective he developed the immersive soundscape of Intimate Transactions. On 2nd November, 2005 Jilliann Hamilton and Jeremy Yuille met with Guy Webster to discuss his approach to immersion in soundsapes.

Evaluation of the Hamilton Youth Court Pilot 2003-2005

Pilot Youth Courts were introduced at Hamilton Sheriff Court in June 2003 and at Airdrie Sheriff Court in June 2004. Although introduced as one of a number of measures aimed at responding more effectively to youth crime (including young people dealt with through the Children’s Hearings System), the Youth Courts were intended for young people who would otherwise have been dealt with in the adult Sheriff Summary Court. The objectives of the pilot Youth Courts were to: • reduce the frequency and seriousness of re-offending by 16 and 17 year old offenders, particularly persistent offenders (and some 15 year olds who are referred to the court); • promote the social inclusion, citizenship and personal responsibility of these young offenders while maximising their potential; • establish fast track procedures for those young persons appearing before the Youth Court; • enhance community safety, by reducing the harm caused to individual victims of crime and providing respite to those communities which are experiencing high levels of crime; and • test the viability and usefulness of a Youth Court using existing legislation and to demonstrate whether legislative and practical improvements might be appropriate. Evaluation of the Hamilton and Airdrie Sheriff Youth Court pilots suggested that they had been successful in meeting the objectives set for them by the Youth Court Feasibility Group. Both were tightly run courts that dealt with a heavy volume of business. The particular strengths of the Youth Court model over previous arrangements included the fast-tracking of young people to and through the court, the reduction in trials, the availability of a wider range of resources and services for young people and ongoing judicial review. The successful operation of the pilot Youth Courts was dependent upon effective teamwork among the relevant agencies and professionals concerned. Good information sharing, liaison and communication appeared to exist across agencies and the procedures that were in place to facilitate the sharing of information seemed to be working well. This was also facilitated by the presence of dedicated staff within agencies, resulting in clear channels of communication, and in the opportunity provided by the multi-agency Implementation Groups to identify and address operational issues on an ongoing basis. However, whether Youth Courts are required in Scotland or whether procedural improvement were possible in the absence of dedicated resources and personnel was more difficult to assess. Two issues in particular required further attention. First, consideration needed to be given to whether the Youth Courts should be more explicitly youth focused and what this might entail. Second, greater clarity was required regarding for whom the Youth Courts were intended. This suggested the need for further discussion of Youth Court targeting and its potential consequences among the various agencies concerned.