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Some rigorous results for random and quasi-periodic potentials

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  • Spencer, Thomas

Abstract

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.

Suggested Citation

  • Spencer, Thomas, 1986. "Some rigorous results for random and quasi-periodic potentials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 140(1), pages 70-77.
    • Handle: RePEc:eee:phsmap:v:140:y:1986:i:1:p:70-77
    DOI: 10.1016/0378-4371(86)90206-2
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    1. Sinai, Allen & Stokes, Houston H, 1975. "Real Money Balances: An Omitted Variable from the Production Function? A Reply," The Review of Economics and Statistics, MIT Press, vol. 57(2), pages 247-252, May.
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