We prove that the Schrödinger operator H=-d2/dx2+V(x)+F·x has purely absolutely continuous spectrum for arbitrary constant external field F, for a large class of potentials; this result applies to many periodic, almost periodic and random potentials and in particular to random wells of independent depth for which we prove that when F=0, the spectrum is almost surely pure point with exponentially decaying eigenfunctions.
|Original language||English (US)|
|Number of pages||11|
|Journal||Communications In Mathematical Physics|
|State||Published - Sep 1983|
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics