Buonsante, P.F; Burioni, R; Cassi, D; Meccoli, I; Regina, S - In: Physica A: Statistical Mechanics and its Applications 280 (2000) 1, pp. 131-135
A quantum particle on a general discrete structure with a local external potential is described by a generalized tight-binding Hamiltonian on a graph. Here, we show that this model can be naturally mapped on a classical statistical model (the Gaussian model) on the same graph. This equivalence...