2010/03/08 by Sergio Hernández-Zapata, Hernández-Zapata, Sergio
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.1003.1558
21 pages, Work about Relativistic Bohmian Mechanics.
arxiv created 2010/03/08 · arxiv updated 2010/03/09
In this paper we intend to extend some ideas of a recently proposed Lorentz-invariant Bohmian model, obeying Klein-Gordon equations, but considering particles with a spin different than zero. First we build a Bohmian model for a single particle, closely related to the Bohm-Dirac model, but using Nikolic's ideas on a space-time probability density and the introduction of a synchronization parameter σfor the particle trajectory. We prove that, in the case of a spinor whose component phases become equal when \plank → 0, it is possible to use the usual Bohmian Mechanics procedures to obtain the classical limit. We extend these ideas for a two-particle system, based on two non-local but covariant Dirac-like equations.