On the definition and evolution of states in relativistic classical and quantum mechanics

Research output: Contribution to journalArticlepeer-review

Abstract

Some of the problems associated with the construction of a manifestly covariant relativistic quantum theory are discussed. A resolution of this problem is given in terms of the off mass shell classical and quantum mechanics of Stueckelberg, Horwitz and Piron. This 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 well-posed formulation of dynamical problems of systems with electromagnetic interaction is discussed, and some of the significance of recently found (classical) relativistic chaotic behavior is pointed out. Many results of a technical nature have been achieved in this framework; in this paper, some of these are reviewed, but I shall concentrate on a discussion of the basic ideas and foundations of the theory.

Original languageEnglish
Pages (from-to)421-450
Number of pages30
JournalFoundations of Physics
Volume22
Issue number3
DOIs
StatePublished - Mar 1992
Externally publishedYes

Fingerprint

Dive into the research topics of 'On the definition and evolution of states in relativistic classical and quantum mechanics'. Together they form a unique fingerprint.

Cite this