The claimed exact equivalence to the Schrödinger equation from classical action is actually the standard semiclassical approximation because the quantum potential is omitted by neglecting spatial derivatives of the probability density amplitude.
1926 An undulatory theory of the mechanics of atoms and molecules.Phys
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Comment on `On computing quantum waves exactly from classical action'
The claimed exact equivalence to the Schrödinger equation from classical action is actually the standard semiclassical approximation because the quantum potential is omitted by neglecting spatial derivatives of the probability density amplitude.