Rank-One Singular Perturbations with a Dual Pair of Eigenvalues

详细信息    查看全文

• 作者：Sergio Albeverio ; Mykola Dudkin and Volodymyr Koshmanenko
• 关键词：eigen ; value problem ; Krein's formula ; rank one singular perturbation ; self ; adjoint extension
• 刊名：Letters in Mathematical Physics
• 出版年：2003
• 出版时间：2003
• 年：2003
• 卷：63
• 期：3
• 页码：219-228
• 全文大小：119 KB

文摘

We discuss the eigen-values problem for rank one singular perturbations [(A)\tilde] = A[(+)\tilde] a¨¢·,w?w\tilde A = A\tilde + \alpha \langle \cdot ,\omega \rangle \omega of a self-adjoint unbounded operator A with a gap in its spectrum. We give a constructive description of operators à which possess at least two new eigenvalues, one in the resolvent set and other in the spectrum of A.