Bohmian Zitterbewegung
arXiv:2106.05827
Abstract
A new Bohmian quantum-relativistic model, in which from the Klein-Gordon equation a generalization of the standard Zitterbewegung arises, is explored. It is obtained by introducing a new independent time parameter, whose relative motions are not directly observable but cause the quantum uncertainties of the observables. Unlike Bohm's original theory, the quantum potential does not affect the observable motion, as for a normal external potential, but it only determines that one relative to the new time variable, of which the Zitterbewegung of a free particle is an example. The model also involves a relativistic revision of the uncertainty principle.
arXiv comment15 pages
References in corpus (6)
- Observation of Zitterbewegung in a spin-orbit coupled Bose-Einstein condensate
- Nature of electron Zitterbewegung in crystalline solids
- About Some Problems Raised by the Relativistic Form of De-Broglie--Bohm Theory of Pilot Wave
- Bohmian mechanics in relativistic quantum mechanics, quantum field theory and string theory
- Relativistic Bohmian mechanics without a preferred foliation
- Relativistic-covariant Bohmian mechanics with proper foliation