On poisson brackets and symplectic structures for the classical and quantum Zitterbewegung

Journal Article · Mon Nov 01 04:00:00 EST 1993 · Foundations of Physics; (United States)

DOI:https://doi.org/10.1007/BF01243939· OSTI ID:7271651

Barut, A O; Unal, N

The symplectic structures (brackets, Hamilton's equations, and Lagrange's equations) for the Dirac electron and its classical model have exactly the same form. The authors give explicitly the Poisson brackets in the dynamical variables (x[sup [mu]], p[sup [mu]], [nu][sup [mu]], S[sup [mu][nu]]). The only difference is in the normalization of the Dirac velocities y[sub [mu]]y[sup [mu]] = 4 which has the significant consequences. 8 refs.

• OSTI ID: 7271651
• Journal Information: Foundations of Physics; (United States), Journal Name: Foundations of Physics; (United States) Vol. 23:11; ISSN FNDPA4; ISSN 0015-9018
• Country of Publication: United States
• Language: English

Related Subjects

661100* -- Classical & Quantum Mechanics-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CLASSICAL MECHANICS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EQUATIONS
FUNCTIONS
HAMILTONIAN FUNCTION
LAGRANGE EQUATIONS
LIE GROUPS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
POISSON EQUATION
QUANTUM MECHANICS
SP GROUPS
SYMMETRY GROUPS
WAVE EQUATIONS
ZITTERBEWEGUNG