Estudo de sistemas vinculados e suas aplicações

Abstract

This paper consists of a discussion about the fundamental aspects of systems descri bed by a singular Lagrangian. Attempts to deal with such systems go back to the 1950s. Initially with P. G. Bergmann and placed in formal methods by P. A. Dirac, the process of hamiltonization and quantization of constrained systems remains an effective methodology for studying theoretical physics models until nowadays. The search for relativistic equa tions that describe the evolution of the degrees of freedom of rotation and their influence on the trajectory of a spin particle represents one of these intriguing models. This search is directly related to symmetry transformations and conservation laws. We analyzed the structure of the Dirac procedure, the relationship between the constraints and symmetries of the theory and its application in various contexts, as Hertz Mechanics and the Staruszkiewicz model.