Spectral statistics of random Schrödinger operator with growing potential

Dhriti Ranjan Dolai, Anish Mallick

In this work we investigate the spectral statistics of random Schrödinger operators $H^{\omega }=-\Delta +{\sum }_{n\in {\mathbb{Z}}^d}(1+|n{|}^{\alpha })q_n(\omega )|{\delta }_n⟩⟨{\delta }_n|$, $\alpha >0$ acting on $\ell^2(\…