Relativistic Particle Interactions: A Third World View

摘要

A new form for describing interacting relativistic classical particles with invariant world lines is presented. In contrast to the use of independent particle variables or of centre of mass and relative coordinates previously considered in the literature, a Lorentz matrix is introduced and an associated conjugate four-dimensional angular momentum as collective variables; these are supplemented with a suitable number of internal variables. The methods of constrained Hamiltonian dynamics are used to ensure that the number of independent degrees of freedom corresponds precisely to that for a system of a given number of particles. Independent particle variables can be defined in the formalism, and interactions included. The eleven generator form for relativistic Hamiltonian dyanmics is essential to make relativistic invariance, invariant world lines, and interaction, compatible with one another. (ERA citation 06:032699)