Anderson localisation: 2D vs. 3D (3D)

About this app

A particle hops through a disordered lattice: does the wave spread or stay trapped? Eigenstates as a height field (2D) and a cube of spheres (3D), sliders for disorder, energy and lattice size, participation number and size comparison. In 2D every disorder localises, in 3D weak disorder allows spreading (preprint openai/math, family 261). Includes the honest finite-size trap at weak disorder in 2D.

Subject: Open problems, solved by AI

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