The Spectrum of Magnetic Schrödinger Operators on a Graph with Periodic Structure

Yusuke Higuchi, Tomoyuki Shirai

研究成果: Contribution to journalArticle査読

13 被引用数 (Scopus)

抄録

For discrete magnetic Schrödinger operators on covering graphs of a finite graph, we investigate two spectral properties: (1) the relationship between the spectrum of the operator on the covering graph and that on a finite graph, (2) the analyticity of the bottom of the spectrum with respect to magnetic flow. Also we compute the second derivative of the bottom of the spectrum and represent it in terms of geometry of a graph.

本文言語英語
ページ(範囲)456-480
ページ数25
ジャーナルJournal of Functional Analysis
169
2
DOI
出版ステータス出版済み - 12 20 1999
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