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BIRS Workshop Lecture Videos

Density of states and level statistics for 1d Schroedinger operators Nakano, Fumihiko


We consider the 1d Schroedinger operator with random potential decaying of order \(\alpha\). The results are : (1) the fluctuation of density of states with different behavior depending on \(\alpha\), (2) the level statistics asymptotically obeys clock, \(Sine_{\beta}\), and Poisson processes for super-critical, critical, and sub-critical cases, respectively.

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