Schrödinger operators with an electric field and random or deterministic potentials

F. Bentosela, R. Carmona, P. Duclos, B. Simon, B. Souillard, R. Weder

Research output: Contribution to journalArticle

73 Scopus citations

Abstract

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 languageEnglish (US)
Pages (from-to)387-397
Number of pages11
JournalCommunications In Mathematical Physics
Volume88
Issue number3
DOIs
StatePublished - Sep 1983
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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