Surface States and Spectra

Surface States and Spectra (2000)

by Vojkan Jaksic , Yoram Last

Citations:

6 - 1 self

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Datum	Value	Source
TITLE	Surface States and Spectra	user correction - Legacy Corrections
AUTHOR NAME	Vojkan Jaksic	user correction
AUTHOR NAME	Yoram Last	user correction
AUTHOR AFFIL	1 Department of Mathematics; Johns Hopkins University	user correction
AUTHOR ADDR	3400 N. Charles Street, 404 Krieger Hall; Baltimore, MD 21218, USA	user correction
ABSTRACT	Let Z d+1 + = Z d Z+,letH 0 be the discrete Laplacian on the Hilbert space l 2 (Z d+1 + ) with a Dirichlet boundary condition, and let V be a potential supported on the boundary #Z d+1 + .We introduce the notions of surface states and surface spectrum of the operator H = H 0 + V and explore their properties. Our main result is that if the potential V is random and if the disorder is either large or small enough, then in dimension two H has no surface spectrum on #(H 0 ) with probability one. To prove this result we combine Aizenman-Molchanov theory with techniques of scattering theory.	user correction
YEAR	2000	user correction
CITATIONS	20 found	ParsCit 1.0