TY - JOUR

T1 - On the definition and evolution of states in relativistic classical and quantum mechanics

AU - Horwitz, L. P.

PY - 1992/3

Y1 - 1992/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0039645787&partnerID=8YFLogxK

U2 - 10.1007/BF01883906

DO - 10.1007/BF01883906

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0039645787

SN - 0015-9018

VL - 22

SP - 421

EP - 450

JO - Foundations of Physics

JF - Foundations of Physics

IS - 3

ER -