Spectral statistics of random Schrödinger operator with growing potential

Dhriti Ranjan Dolai and Anish Mallick

Mathematische Nachrichten, 2019, vol. 292, issue 9, 2048-2071

Abstract: In this work we investigate the spectral statistics of random Schrödinger operators Hω=−Δ+∑n∈Zd(1+|n|α)qn(ω)|δn⟩⟨δn|,α>0acting on ℓ2(Zd) where {qn}n∈Zd are i.i.d random variables distributed uniformly on [0,1].

Date: 2019
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https://doi.org/10.1002/mana.201600290

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:292:y:2019:i:9:p:2048-2071

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