Anderson localization for the 1-D discrete Schrödinger operator with two-frequency potential

V. A. Chulaevsky, Ya G. Sinai

Research output: Contribution to journalArticlepeer-review

40 Scopus citations

Abstract

We prove the complete exponential localization of eigenfunctions for the 1-D discrete Schrödinger operators with quasi-periodic potentials having two basic frequencies. It is shown also that for such operators there is no forbidden zones in the spectrum, unlike the operators with one basic frequency.

Original languageEnglish (US)
Pages (from-to)91-112
Number of pages22
JournalCommunications In Mathematical Physics
Volume125
Issue number1
DOIs
StatePublished - Mar 1 1989
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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