Weak Bloch property for discrete magnetic Schrodinger operators

Yusuke Higuchi, Tomoyuki Shirai

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

For a magnetic Schrödinger operator on a graph, which is a generalization of classical Harper operator, we study some spectral properties: the Bloch property and the behaviour of the bottom of the spectrum with respect to magnetic fields. We also show some examples which have interesting properties.

Original languageEnglish
Pages (from-to)127-154
Number of pages28
JournalNagoya Mathematical Journal
Volume161
DOIs
Publication statusPublished - Mar 2001
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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