Hydrodynamical formulation of quantum mechanics , Kähler structure , and Fisher information
نویسنده
چکیده
The Schrödinger equation can be derived using the minimum Fisher information principle. I discuss why such an approach should work, and also show that the Kähler and Hilbert space structures of quantum mechanics result from combining the symplectic structure of the hydrodynamical model with the Fisher information metric. PACS: 03.65.Bz; 89.70.+c
منابع مشابه
Fisher, Kähler, Weyl, and the Quantum Potential
This is a basically expository article tracing connections of the quantum potential to Fisher information, to Kähler geometry of the projective Hilbert space of a quantum system, and to the Weyl-Ricci scalar curvature of a Riemannian flat spacetime with quantum matter.
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تاریخ انتشار 2008