Journal
EUROPEAN PHYSICAL JOURNAL C
Volume 72, Issue 2, Pages -Publisher
SPRINGER
DOI: 10.1140/epjc/s10052-012-1881-9
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Funding
- NSERC
- Canada Research Chair program
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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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