EIGENVALUE ASYMPTOTICS FOR THE SCHRODINGER OPERATOR WITH PERTURBED PERIODIC POTENTIAL

• 成果类型: Article
• 署名作者: RAIKOV, GD
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/BF01231325
• 发表日期: 1992
• 页码: 75-93
• 关键词: h-lambda-w; gap; branches; sigma(h)

摘要

We consider the Schrodinger operator H = - DELTA + W + V acting in L2 (R(m)), m greater-than-or-equal-to 2, with periodic potential W perturbed by a potential V which decays slowly at infinity. We study the asymptotic behaviour of the discrete spectrum of H near any given boundary point of the essential spectrum.