CLASSICAL THEORY OF THE DIRAC ELECTRON

Journal Article · Sun Dec 01 00:00:00 EST 1963 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.132.2346· OSTI ID:4147608

Grossmann, Z; Peres, A

The Hamiltonian theory of a classical particle displaying all the features of the Dirac electron (spin, Zitterbewegang, etc.) except for the superposition principle is presented. The particle is described by eight internal canonical variables, of which three are the spin angular momentum vector. The five other variables have no simple physical meaning, but are nevertheless necessary for a consistent theory. The equations of motion are not manifestly covariant, and the Lorentz invariance of the theory is proved by constructing the ten generators of the inhomogeneous Lorentz group. (auth)

• Research Organization: Israel Inst. of Tech., Haifa
• NSA Number: NSA-18-002639
• OSTI ID: 4147608
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Vol. Vol: 132; Other Information: Orig. Receipt Date: 31-DEC-64
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

PHYSICS
ANGULAR MOMENTUM
DIFFERENTIAL EQUATIONS
ELECTRONS
FERMIONS
GROUP THEORY
HAMILTONIAN
HAMILTONIAN FUNCTION
LORENTZ TRANSFORMATIONS
MOMENTUM
MOTION
NUMERICALS
PARTICLE MODELS
QUANTUM MECHANICS
RELATIVITY THEORY
SPIN
VECTORS