Quantum particles and Gaussian model on graphs

P.f Buonsante, R Burioni, D Cassi, I Meccoli, S Regina and A Vezzani

Physica A: Statistical Mechanics and its Applications, 2000, vol. 280, issue 1, 131-135

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.

Keywords: Disordered solids; Graph theory; Tight binding; Gaussian model (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:280:y:2000:i:1:p:131-135

DOI: 10.1016/S0378-4371(99)00628-7

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