Hamilton-Jacobi theory for constrained systems

• Grant number: 15/12693-6
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: November 01, 2015
• End date: October 31, 2016
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Rodrigo Fresneda
• Grantee: Leonardo de Souza Oliveira
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil

Abstract

The Hamilton-Jacobi formalism of classical mechanics has always occupied a marginal role in celebrated presentations of classical mechanics. However, since the works of C. Caratheodory, the Hamilton-Jacobi formalism has gained greater prominence, even though it has never been central in quantization problems. In the project we shall revisit the Hamilton-Jacobi formalism in classical mechanics of constrained systems, so we can propose an approach in equal footing to the traditional formalism, due to Dirac.