Classical model of the Dirac electron in curved space
- 1 May 1987
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 4 (3) , L41-L45
- https://doi.org/10.1088/0264-9381/4/3/002
Abstract
The action for the classical model of the electron exhibiting Zitterbewegung is generalised to curved space by introducing a spin connection. The dynamical equations and the symplectic structure are given for several different choices of the variables. In particular, the authors obtain the equation of motion for spin and compare it with the Papapetrou equation (1951).Keywords
This publication has 11 references indexed in Scilit:
- Canonical formalism and quantization of world-line in a curved background metricIl Nuovo Cimento A (1971-1996), 1986
- Zitterbewegungof the electron in external fieldsPhysical Review D, 1985
- Covariant generalization of the Zitterbewegung of the electron and its SO(4,2) and SO(3,2) internal algebrasPhysical Review D, 1985
- Path-Integral Derivation of the Dirac PropagatorPhysical Review Letters, 1984
- Classical Model of the Dirac ElectronPhysical Review Letters, 1984
- Dirac equation in Riemann space-timeIl Nuovo Cimento A (1971-1996), 1984
- On the connection between the Dirac and the dixon equation in a weak gravitational fieldLettere al Nuovo Cimento (1971-1985), 1977
- MOTION OF A GYROSCOPE ACCORDING TO EINSTEIN'S THEORY OF GRAVITATIONProceedings of the National Academy of Sciences, 1960
- Spinning test-particles in general relativity. IProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1951
- Über eine mögliche geometrische Deutung der relativistischen QuantentheorieThe European Physical Journal A, 1929