History and Philosophy of Quantum Mechanics V: Numerical schemes

Abstract

In the hydrodynamical interpretation, the time dependent "flow” of the probability density can be described in almost the same way as for the flow of classical fluid. On the contrary, however, this kind of visual computational approach on solving the equations is not possible under the standard quantum mechanics. The Schrödinger equation does not easily allow some effective computational schemes, especially for a system with more than a couple particles involved.