Quantum particles and Gaussian model on graphs

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.

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Year of publication:	2000
Authors:	Buonsante, P.F ; Burioni, R ; Cassi, D ; Meccoli, I ; Regina, S ; Vezzani, A
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 280.2000, 1, p. 131-135
Publisher:	Elsevier
Subject:	Disordered solids \| Graph theory \| Tight binding \| Gaussian model

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010873153