PHASE-SPACE PATH INTEGRATION OF THE RELATIVISTIC PARTICLE EQUATIONS

GUR H.

FOUNDATIONS OF PHYSICS, vol.21, no.11, pp.1305-1314, 1991 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 11
  • Publication Date: 1991
  • Doi Number: 10.1007/bf00732832
  • Journal Name: FOUNDATIONS OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1305-1314
  • Ankara University Affiliated: No

Abstract

Hamilton-Jacobi theory is applied to find appropriate canonical transformations for the calculation of the phase-space path integrals of the relativistic particle equations. Hence, canonical transformations and Hamilton-Jacobi theory are also introduced into relativistic quantum mechanics. Moreover, from the classical physics viewpoint, it is very interesting to find and to solve the Hamilton-Jacobi equations for the relativistic particle equations.