Abstract
We consider the 1d Schrödinger operators with random decaying potentials in the sub-critical case where the spectrum is pure point. We show that the point process composed of the rescaled eigenvalues in the bulk, together with those zero points of the corresponding eigenfunctions, converges to a Poisson process.
Citation
Shinichi Kotani. Fumihiko Nakano. "Poisson statistics for 1d Schrödinger operators with random decaying potentials." Electron. J. Probab. 22 1 - 31, 2017. https://doi.org/10.1214/17-EJP91
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