Institution: | (1) Department of Mathematics, University of Oklahoma, Norman, OK 73019, USA;(2) Departamento de Matemáticas y Ciencias de la Computación, Universidad de Santiago de Chile, Casilla 307, Correo 2, Santiago, Chile |
Abstract: | Examples of equations of motion in classical relativistic mechanics are studied: the equations of motion of a charged spinning particle moving in a space-time (with or without torsion) in the presence of an electromagnetic field are derived via Souriau presymplectic reduction. Then, the extension of Souriau s ideas to Lagrangian field theory due to Witten, Crnkovi , Zuckerman is reviewed using the variational bicomplex, the basic properties of the Lund–Regge equations describing the motion of a string interacting with a scalar field and moving in Minkowski spacetime are recalled, and a symplectic structure for their space of solutions is found.This revised version was published online in April 2005. The publishing date was inserted. |