Some rigorous results for random and quasi-periodic potentials

We review some mathematical results and conjectures for random and quasi-periodic Schrödinger operators. The role of localization in certain nonlinear systems is also discussed. In addition we present some general arguments which show that the correlation length exponent v ⩾ 2/d for a wide class of d dimensional random systems including the dilute Ising ferro-magnet.

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Year of publication:	1986
Authors:	Spencer, Thomas
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 140.1986, 1, p. 70-77
Publisher:	Elsevier

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

Persistent link: https://www.econbiz.de/10011061214