Author/Authors :
P. F. Buonsante، نويسنده , , R. Burioni، نويسنده , , D. Cassi، نويسنده , , I. Meccoli، نويسنده , , Henrique S. Regina، نويسنده , , A. Vezzani، نويسنده ,
Abstract :
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 provides not only a powerful technical tool for model solving, but it also puts into evidence general fundamental properties of quantum inhomogeneous systems.
