Comparison of dynamic diffusion with an explicit scheme for the Shredinger equationстатья
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Аннотация:We represent the method of dynamic diffusion for the approximate solution of Shredinger equation with decoherence. Decorence 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.