A Review of Five Approaches of Quantum Potential Including Madelung Hydrodynamics Formulation

Victor Christianto, Florentín Smarandache

Published Jun 1, 2017• 0 citations

Abstract

It has been long known that a year after Schrodinger published his equation, Madelung also published a hydrodynamics version of Schrodinger equation. But it is often misinterpreted by many contemporary physicists, especially after the famous Bohmian quantum potential. In this paper we will review quantum potential by five different approaches, including Madelung hydrodynamics, complex Madelung, and also Navier-Stokes hydrodynamics approach. In the last section we will also discuss a new expression of quantum potential based on complex Riccati equation. It is our hope that these methods can be verified and compared with experimental data. But we admit that more researches are needed to fill all the missing details.

DOI: 10.20944/preprints201707.0001.v1

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