History and Philosophy of Quantum Mechanics II: The Hydrodynamical Interpretation

Abstract

Through a transformation similar to the one made by the Bohmian ontological approach, Madelung-Bohm-Takabayasi hydrodynamical interpretation of quantum mechanics transforms the Schrödinger equation into a set of hydrodynamical equations to express a causal and deterministic change of probability density over time. Then, the motion of probability density flow can be visualized in real space through its trajectory. This illustrative and metaphoric scheme provides intuitive understanding of quantum dynamical systems. In this computational scheme, the visual trajectories of the flow constitute a set of computational tools to solve the corresponding hydrodynamical equations of motion.