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Hydrodynamical formulation of quantum mechanics, Kahler structure, and Fisher information

Marcel Reginatto
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Abstract

The Schrodinger equation can be derived using the minimum Fisher information principle. I discuss why such an approach should work, and also show that the Kahler and Hilbert space structures of quantum mechanics result from combining the symplectic structure of the hydrodynamical model with the Fisher information metric.

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Marcel Reginatto. 1999-09-21. Hydrodynamical formulation of quantum mechanics, Kahler structure, and Fisher information. https://arxiv.org/abs/quant-ph/9909065

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