Madelung transform is a momentum map yielding prequantum bundles, an infinite-dimensional convexity theorem, and a symplectomorphism to coadjoint orbits with Morse-Bott densities for wave functions with noncritical zeros.
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Madelung hydrodynamics and Poisson geometry of wave functions
Madelung transform is a momentum map yielding prequantum bundles, an infinite-dimensional convexity theorem, and a symplectomorphism to coadjoint orbits with Morse-Bott densities for wave functions with noncritical zeros.