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Reformed Hydrodynamic Schrodinger Equation for Barotropic Potential Flow

How the hydrodynamic Schrodinger equation can be reformed so that classical fluid flow is recovered without relying on the classical small-hbar limit, by a correction method that cancels the pseudo-quantum (Bohm) potential directly. The student learns how the Madelung-derived quantum-fluid analogy is made consistent with classical barotropic potential flow and how Noether's theorem verifies that the corrected equations conserve energy and momentum.

Marvin Text

The reformed hydrodynamic Schrödinger equation and the eﬀective method for eliminating

A fluid-dynamics paper that reworks the hydrodynamic Schrodinger equation (HSE), the wavefunction-based reformulation of fluid flow obtained from the Schrodinger equation through the Madelung transfo…