Quantum particles and Gaussian model on graphs

Year: 2000

Authors: Buonsante P., Burioni R., Cassi D., Meccoli I., Regina S., Vezzani A.

Autors Affiliation: Istituto Nazionale di Fisica della Materia, Dipartimento di Fisica, Università di Parma, Parco Area delle Scienze 7a, I-43100 Parma, Italy

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. (C) 2000 Published by Elsevier Science B.V. All rights reserved.

Journal/Review: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Volume: 280 (1-2)      Pages from: 131  to: 135

KeyWords: gaussian model; graph;
DOI: 10.1016/S0378-4371(99)00628-7

Citations: 3
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