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

Authors
BARUT AO UNAL N
Citation
Ao. Barut et N. Unal, ON POISSON BRACKETS AND SYMPLECTIC STRUCTURES FOR THE CLASSICAL AND QUANTUM ZITTERBEWEGUNG, Foundations of physics, 23(11), 1993, pp. 1423-1429
Citations number
10
Categorie Soggetti
Physics
Journal title
Foundations of physics → ACNP
ISSN journal
00159018
Volume
23
Issue
11
Year of publication
1993
Pages
1423 - 1429
Database
ISI
SICI code
0015-9018(1993)23:11<1423:OPBASS>2.0.ZU;2-F
Abstract
The symplectic structures (brackets, Hamilton's equations, and Lagrang e's equations) for the Dirac electron and its classical model have exa ctly the same form. We give explicitly the Poisson brackets in the dyn amical variables (x(mu), p(mu), v(mu), S(munu)). The only difference i s in the normalization of the Dirac velocities gamma(mu)gamma(mu) = 4 which has significant consequences.