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arXiv · 0805.4217

Towards a New Proof of Anderson Localization

Robert Brandenberger·Walter Craig
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Abstract

The wave function of a non-relativistic particle in a periodic potential admits oscillatory solutions, the Bloch waves. In the presence of a random noise contribution to the potential the wave function is localized. We outline a new proof of this Anderson localization phenomenon in one spatial dimension, extending the classical result to the case of a periodic background potential. The proof makes use of techniques previously developed to study the effects of noise on reheating in inflationary cosmology, employing methods of random matrix theory.

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Robert Brandenberger, Walter Craig. 2008-05-27. Towards a New Proof of Anderson Localization. https://doi.org/10.1140/epjc%2Fs10052-012-1881-9

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