Spectral statistics of random Schrödinger operator with growing potential

2015/06/23 by Dolai, Dhriti Ranjan, Mallick, Anish
#35J10 #35P20 #81Q10 #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1506.07132

Abstract

In this work we investigate the spectral statistics of random Schrödinger operators H^ω=-Δ+∑_n∈ℤ^d(1+|n|^α)q_n(ω)|δ_n⟩⟨δ_n|, α>0 acting on ℓ²(ℤ^d) where \q_n\_n∈ℤ^d are i.i.d random variables distributed uniformly on [0,1].

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