SPECTRAL PROPERTIES OF RANDOM SCHRODINGER-OPERATORS WITH UNBOUNDED POTENTIALS

Citation
Ya. Gordon et al., SPECTRAL PROPERTIES OF RANDOM SCHRODINGER-OPERATORS WITH UNBOUNDED POTENTIALS, Communications in Mathematical Physics, 157(1), 1993, pp. 23-50
Citations number
21
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00103616
Volume
157
Issue
1
Year of publication
1993
Pages
23 - 50
Database
ISI
SICI code
0010-3616(1993)157:1<23:SPORSW>2.0.ZU;2-O
Abstract
We investigate spectral properties of random Schrodinger operators H(o mega) = -DELTA + xi(n)(omega)(1 + Absolute value of n(alpha)) acting o n l2(Z(d)), where xi(n) are independent random variables uniformly dis tributed on [0, 1].