Localization and mobility edge for sparsely random potentials

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In this paper we consider sparsely random potentials in 5 or more dimensional cubic lattice and exhibit localized and extended states. We identify also the mobility edge for a class of potentials going to infinity at infinity. Our treatment includes a large class of unperturbed selfadjoint opeartors commuting with the usual Laplacian on the lattice.
Completely revised, main theorems modified; latex2e file

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Mathematical Physics, Disordered Systems and Neural Networks, Spectral Theory, 81Q10; 47B80

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http://salesiana.dossiersoluciones.com/handle/123456789/58173

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/9805015
 http://arxiv.org/abs/math-ph/9805015

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arXiv