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- W2183698199 abstract "We study the level statistics of one-dimensional Schrodinger operator with random potential decaying like $x^{-alpha}$ at infinity. We consider the point process $xi_L$ consisting of the rescaled eigenvalues and show that : (i)(ac spectrum case) for $alpha > frac 12$, $xi_L$ converges to a clock process, and the fluctuation of the eigenvalue spacing converges to Gaussian. (ii)(critical case) for $alpha = frac 12$, $xi_L$ converges to the limit of the circular $beta$-ensemble." @default.
- W2183698199 created "2016-06-24" @default.
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- W2183698199 date "2014-12-15" @default.
- W2183698199 modified "2023-10-16" @default.
- W2183698199 title "Level statistics of one-dimensional Schrödinger operators with random decaying potential" @default.
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- W2183698199 doi "https://doi.org/10.1142/9789814596534_0018" @default.
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