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.
1927 Quantentheorie in hydrodynamischer Form.Z
4 Pith papers cite this work. Polarity classification is still indexing.
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2026 4representative citing papers
The Dirac equation emerged from multiple simultaneous contributions in 1928, with Kramers' independent work and modern derivations from Ehrenfest relations and hydrodynamics now detailed.
Bohmian mechanics offers a legitimate hydrodynamic picture of quantum mechanics that functions as an analytical and computational tool beyond its original hidden-variable framing.
The Schrödinger equation is derived assuming the wave function is a probability amplitude and using the de Broglie relations E = ħω and p = ħk for the associated wave.
citing papers explorer
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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.
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The Birth of Quantum Mechanics and the Dirac Equation
The Dirac equation emerged from multiple simultaneous contributions in 1928, with Kramers' independent work and modern derivations from Ehrenfest relations and hydrodynamics now detailed.
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Bohmian mechanics: A legitimate hydrodynamic picture for quantum mechanics, and beyond
Bohmian mechanics offers a legitimate hydrodynamic picture of quantum mechanics that functions as an analytical and computational tool beyond its original hidden-variable framing.
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Derivation of the Schrodinger equation from fundamental principles
The Schrödinger equation is derived assuming the wave function is a probability amplitude and using the de Broglie relations E = ħω and p = ħk for the associated wave.