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An Optimal Transport View On Schroedinger's Equation

by: Max-Karl von Renesse
(29 Apr 2008)


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Rephrasing Results of Hall and Reginatto in the Language of Wasserstein geometry leads to a representation of the Schroedinger flow as a Lagrangian system on the space of proabability measures where the classical potential field is augmented by the Fisher information functional.


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