Complete asymptotic expansion of the integrated density of states of multidimensional almost-periodic Schrodinger operators

• 成果类型: Article
• 署名作者: Parnovski, Leonid; Shterenberg, Roman
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2012.176.2.8
• 发表日期: 2012
• 页码: 1039-1096
• 关键词: bethe-sommerfeld conjecture

摘要

We prove the complete asymptotic expansion of the integrated density of states of a Schrodinger operator H = -Delta + b acting in R-d when the potential b is either smooth periodic, or generic quasi-periodic (finite linear combination of exponentials), or belongs to a wide class of almost-periodic functions.