LAUSR

Surface Lifshits tails for random quantum Hamiltonians

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0 Published in 2017 at "Journal of Mathematical Physics"

DOI: 10.1063/1.4977753

Abstract: We consider Schrodinger operators on L2(ℝd)⊗L2(ℝl) of the form Hω=H⊥⊗I∥+I⊥⊗H∥+Vω, where H⊥ and H∥ are Schrodinger operators on L2(ℝd) and L2(ℝl), respectively, and Vω(x,y):=∑ξ∈ℤdλξ(ω)v(x−ξ,y),x∈ℝd,y∈ℝl is a random “surface potential.” We investigate the behavior of the… read more here.

Keywords: surface lifshits; random quantum; integrated density; tails random ... See more keywords