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

Barut A. O., UNAL N.

FOUNDATIONS OF PHYSICS, cilt.23, sa.11, ss.1423-1429, 1993 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 11
  • Basım Tarihi: 1993
  • Doi Numarası: 10.1007/bf01243939
  • Dergi Adı: FOUNDATIONS OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1423-1429
  • Akdeniz Üniversitesi Adresli: Hayır

Özet

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.