Symmetry and Integrability in the Classical Model of Zitterbewegung

SUCU Y., Unal N.

FOUNDATIONS OF PHYSICS, vol.42, no.8, pp.1067-1077, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 8
  • Publication Date: 2012
  • Doi Number: 10.1007/s10701-012-9648-6
  • Journal Name: FOUNDATIONS OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1067-1077
  • Keywords: Classical spinning particle, Symmetry, Integrability, Noether currents, Zitterbewegung, SPINNING PARTICLES, QUANTUM-MECHANICS, DIRAC ELECTRON, FIELD, KINEMATICS
  • Akdeniz University Affiliated: Yes

Abstract

We extended the Barut's classical model of zitterbewegung from 3+1 dimensional spacetime into 2+1 and 1+1 dimensional spacetimes and discussed the symmetry and integrability properties of the model in 2+1, 1+1 and 3+1 dimensions. In these cases, the free particle current or the velocity of the particle can be decomposed as a constant convection current and polarization currents.