Dynamic diffusion as approximation of quantum behavior

Details Dynamic diffusion as approximation of quantum behavior Dynamic diffusion as approximation of quantum behavior

2010-11-08

arxiv.org/abs/1011.1819v1

Physics

General Physics

19 pages, LaTex

Scientific paper

The approximation of quantum unitary dynamics of a particle by a swarm of point wise classical samples of this particle is proposed. Quantum mechanism of speedup rests on the creation and annihilation of absolutely rigid bons, which join samples in dot wise symplexes so that the density of swarm approximate the quantum probability. This mechanism does not require differentiation of a density that is adventage of this method over Bohm's quantum hydrodynamics: our method is applicable to many particles in entangled states. In multi particle case the limitation of total number of samples gives the natural model of decoherence, e.g. the divergency from the exact solution of Shredinger equation. Intensity of creation - annihilation of bonds between samples substantially depends on the grain of spatial resolution, which makes impossible to pass to the limits as in a classical substance; this is the price for the scalability of a model to many particles.

Affiliated with

Also associated with

No associations

Rating

Dynamic diffusion as approximation of quantum behavior does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dynamic diffusion as approximation of quantum behavior, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamic diffusion as approximation of quantum behavior will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-131420