Derives hierarchical reduction from nonlinear Bohmian amplitude-phase equations to Ermakov-Pinney and Mathieu-Hill dynamics, yielding Bessel-weighted linear spectral superposition for near-degenerate stationary states applicable to slit geometries.
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Stationary Bohmian superposition under amplitude and phase modulation
Derives hierarchical reduction from nonlinear Bohmian amplitude-phase equations to Ermakov-Pinney and Mathieu-Hill dynamics, yielding Bessel-weighted linear spectral superposition for near-degenerate stationary states applicable to slit geometries.