A theoretical physicist who reformulated the single-electron Schrödinger equation as hydrodynamic equations, now called the Madelung equations. Writing the wave function in terms of magnitude and phase connects its evolution with a density and a flow. The formulation makes a useful bridge between quantum-wave dynamics and fluid descriptions while retaining an additional quantum contribution to the force balance.[ref]
Quantentheorie in hydrodynamischer Form by Erwin Madelung. Summary and pp. 322–326: hydrodynamic transformation of the one-electron equation
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Erwin Madelung is a significant figure in the field of physics, particularly known for his contributions to quantum mechanics and the development of the Madelung equations. These equations describe the motion of particles under the influence of a potential in a way that incorporates wave-like properties, reflecting the quantum nature of particles. The Madelung equations allow for a formulation of quantum mechanics that can be expressed in terms of hydrodynamic variables, linking quantum mechanics to classical fluid dynamics.