Comparizon of dynamic diffusion with explicit difference scheme for Shredinger equation

Details Comparizon of dynamic diffusion with explicit difference scheme for Shredinger equation Comparizon of dynamic diffusion with explicit difference scheme for Shredinger equation

2011-05-03

arxiv.org/abs/1105.0518v1

Physics

Quantum Physics

Scientific paper

We represent the method of dynamic diffusion for the approximate solution of Shroedinger equation with decoherence. Decoherence shows as the divergency of exact solution from the dynamics of diffusion swarm, which arises when the total number of real particles grows. The method of dnamic diffusion cannot be reduced to the solution of differential equations, in contrast to Bohm's quantum hydrodynamics, hence the direct computer simulation is the mandatory step of its development. We compare the dynamic diffusion with the explicit finite differences scheme for Shredinger equation for some standard one dimension cases.

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