One-dimensional Schrödinger operators with random or deterministic potentials: New spectral types

Research output: Contribution to journalArticle

47 Scopus citations

Abstract

We prove sufficient conditions involving only potential asymptotic near one of the infinities in order to have purely absolutely continuous components in the spectrum. These deterministic results are then applied to random cases and exhibit classes of models for which, with probability one, one component of the spectrum is purely absolutely continuous and the rest is dense pure point with exponentially decaying eigenfunctions.

Original languageEnglish (US)
Pages (from-to)229-258
Number of pages30
JournalJournal of Functional Analysis
Volume51
Issue number2
DOIs
StatePublished - Apr 1983
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Analysis

Fingerprint Dive into the research topics of 'One-dimensional Schrödinger operators with random or deterministic potentials: New spectral types'. Together they form a unique fingerprint.

  • Cite this