Related papers: Bohm - de Broglie Cycles

Bohm - de Broglie Cycles

URL: http://arxiv.org/abs/2301.13251v2
Date: Wed, 26 Jul 2023 20:38:04 GMT
Title: Bohm - de Broglie Cycles
Authors: Olivier Piguet
Abstract summary: In the de Broglie-Bohm quantum theory, particles describe trajectories determined by the flux associated with their wave function. These trajectories are studied here for relativistic spin-one-half particles. The chosen energy and momentum parameters are of the orders of magnitude met in graphene's physics.
Score: 0.05076419064097732
License: http://creativecommons.org/publicdomain/zero/1.0/
Abstract: In the de Broglie-Bohm quantum theory, particles describe trajectories determined by the flux associated with their wave function. These trajectories are studied here for relativistic spin-one-half particles.Based in explicit numerical calculations for the case of a massless particle in dimension three space-time, it is shown that if the wave function is an eigenfunction of the total angular momentum, the trajectories begin as circles of slowly increasing radius until a transition time at which they tend to follow straight lines. Arrival times at some detector, as well as their probability distribution are calculated, too. The chosen energy and momentum parameters are of the orders of magnitude met in graphene's physics.

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