The n-wave scattering amplitude for deep-water surface gravity waves in the two-negative-wavenumber sector equals the volume of the hydrotope polytope.
A gauge theory for shallow water
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Schrödinger equation is locally equivalent to a non-relativistic gauge theory via one-form or two-form gauge fields on the probability current, with global topology from phase winding quantization.
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Surface Water Wave Scattering and the Hydrotope
The n-wave scattering amplitude for deep-water surface gravity waves in the two-negative-wavenumber sector equals the volume of the hydrotope polytope.
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The Schrodinger Equation as a Gauge Theory
Schrödinger equation is locally equivalent to a non-relativistic gauge theory via one-form or two-form gauge fields on the probability current, with global topology from phase winding quantization.