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Spectral statistics of random Schr\"{o}dinger operator with growing potential by Dolai, Dhriti Ranjan; Mallick, Anish is a scholarly article available to read on EtoBox.

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In this work we investigate the spectral statistics of random Schr\"{o}dinger operators $H^\omega=-\Delta+\sum_{n\in\mathbb{Z}^d}(1+|n|^\alpha)q_n(\omega)|\delta_n\rangle\langle\delta_n|$, $\alpha>0$ acting on $\ell^2(\mathbb{Z}^d)$ where $\{q_n\}_{n\in\mathbb{Z}^d}$ are i.i.d random variables distributed uniformly on $[0,1]$.

Author

Dolai, Dhriti Ranjan; Mallick, Anish

Published

2015

Language

EN