Definition and evolution of states in relativistic classical and quantum mechanics
Abstract
Some of the problems associated with the construction of a manifestly covariant relativistic quantum theory are discussed. A resolution of the problem is given in terms of the off mass shell classical and quantum mechanics of Stueckelberg, Horwitz, and Piron. The theory contains many questions of interpretation, reaching deeply into the notions of time, localizability, and causality. A proper generalization of the Maxwell theory of electromagnetic interaction, required for the wellposed formulation of dynamical problems of systems with electromagnetic interaction, is discussed, and some of the significance of recently found (classical) chaotic behavior is shown. Many results of a technical nature were achieved in the framework; some of these are reviewed, but the concentration is on a discussion of the basic ideas and foundations of the theory.
 Publication:

Unknown
 Pub Date:
 September 1991
 Bibcode:
 1991desr.book.....H
 Keywords:

 Classical Mechanics;
 Covariance;
 Electromagnetic Interactions;
 Quantum Mechanics;
 Quantum Statistics;
 Quantum Theory;
 Relativistic Theory;
 Chaos;
 Dynamical Systems;
 Thermodynamics and Statistical Physics