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arXiv · 1312.6901

Level statistics for one-dimensional Schrödinger operators and Gaussian beta ensemble

Fumihiko Nakano
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Abstract

We study the level statistics for two classes of 1-dimensional random Schrödinger operators : (1) for operators whose coupling constants decay as the system size becomes large, and (2) for operators with critically decaying random potential. As a byproduct of (2) with our previous result \cite{KN} imply the coincidence of the limits of circular and Gaussian beta ensembles.

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Fumihiko Nakano. 2013-12-25. Level statistics for one-dimensional Schrödinger operators and Gaussian beta ensemble. https://doi.org/10.1007/s10955-014-0987-x

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