Generalized Equations in Quantum Mechanics and Brownian Theory

We discuss formal analogies between a nonlinear Schrödinger equation derived by the author from the theory of scale relativity and the equations of Brownian theory. By using the Madelung transformation, the nonlinear Schrödinger equation takes the form of hydrodynamic equations involving a friction...

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Bibliographic Details
Main Author: Pierre-Henri Chavanis
Format: Article
Language:English
Published: MDPI AG 2023-12-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/15/12/2195