Asymptotics of the S-Matrix for Perturbed Hill Operators

作者:Korotyaev E L*
来源:Russian Journal of Mathematical Physics, 2014, 21(1): 46-54.
DOI:10.1134/S106192081401004X

摘要

We consider the Schrodinger operator with a periodic potential p plus a compactly supported potential q on the real line. We assume that both p and q have m %26gt;= 0 derivatives. For generic p, the essential spectrum of the operator has an infinite sequence of open gaps. We determine the asymptotics of the S-matrix at high energy.

  • 出版日期2014-3

全文