A derivation of the Dirac equation in an external field based on the Poisson process

Authors
Kudo, T Ohba, I Nitta, H
Citation
T. Kudo et al., A derivation of the Dirac equation in an external field based on the Poisson process, PHYS LETT A, 286(4), 2001, pp. 227-230
Citations number
8
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
03759601 → ACNP
Volume
286
Issue
4
Year of publication
2001
Pages
227 - 230
Database
ISI
SICI code
0375-9601(20010730)286:4<227:ADOTDE>2.0.ZU;2-F
Abstract
The Dirac equation has been derived from the master equation of Poisson pro cess by analytic continuation. We extend it to the case where a particle mo ves in an external field. Furthermore, we show that the generalized master equation is intimately connected with three-dimensional Dirac equation in a n external field. (C) 2001 Elsevier Science B.V. All rights reserved.