ON POISSON BRACKETS AND SYMPLECTIC STRUCTURES FOR THE CLASSICAL AND QUANTUM ZITTERBEWEGUNG

Barut A. O., UNAL N.

FOUNDATIONS OF PHYSICS, vol.23, no.11, pp.1423-1429, 1993 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 23 Issue: 11
  • Publication Date: 1993
  • Doi Number: 10.1007/bf01243939
  • Journal Name: FOUNDATIONS OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1423-1429
  • Akdeniz University Affiliated: No

Abstract

The symplectic structures (brackets, Hamilton's equations, and Lagrange's equations) for the Dirac electron and its classical model have exactly the same form. We give explicitly the Poisson brackets in the dynamical variables (x(mu), p(mu), v(mu), S(munu)). The only difference is in the normalization of the Dirac velocities gamma(mu)gamma(mu) = 4 which has significant consequences.