- 98-317 Jaksic V., Molchanov S.
- Localization for One Dimensional Long
Range Random Hamiltonians - revised and extended version.
(740K, postscript)
Apr 28, 98
-
Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers
-
Abstract. We study spectral properties of random Schr\"odinger operators $h_\omega =
h_0 + v_\omega(n)$
on $l^2({\bf Z})$ whose free part $h_0$ is long range.
We prove that the spectrum of $h_\omega$ is
pure point for typical $\omega$ whenever the
off-diagonal terms of $h_0$ decay as $\vert i -j\vert^{-\gamma}$ for
some $\gamma >8$.
- Files:
98-317.ps