where E = 3 − − λ λ is minimized now, becoming the analog of energy. The formula inside the bracket is discrete Laplace operator, making this equation a discrete analogue of stationary Schrodinger equation. As in quantum mechanics, MERW predicts that the probability distribution should lead exactly to the one of quantum ground state : ρ ρ x ∝ ∝ ψ ψ x 2 with its strongly localized density (in contrast to standard diffusion). Taking the infinitesimal limit, we can get standard continuous stationary (time-independent) Schrodinger equation ( E ψ ψ = − − C ψ ψ x x + V ψ ψ for C = ℏ ℏ 2 / 2 m ) here.