标题： 关于非对称零范围势的薛定谔算子的S矩阵 显示英文标题

标题： On S-matrix of Schrodinger Operators with Non-Symmetric Zero-Range Potentials

摘要： 非自伴的薛定谔算子，其对应于非对称的零范围势，被研究。我们证明了这些算子的各种性质（特征值、异常点、谱奇点以及与自伴算子相似的性质）完全由相应的S矩阵的极点决定。 显示英文摘要

摘要： Non-self-adjoint Schrodinger operators which correspond to non-symmetric zero-range potentials are investigated. We show that various properties of these operators (eigenvalues, exceptional points, spectral singularities and the property of similarity to a self-adjoint operator) are completely determined by poles of the corresponding S-matrix.