Point spectrum of the schrödinger operator with point interactions at the vertices of regular N-gons

• Date: 2004
• Main Authors: Dudkin, M. Ye., Дудкін, М. Є.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2004
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3827
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We present a complete description of the point spectrum of the Laplace operator perturbed by point potentials concentrated at the vertices of regular polygons. We prove a criterion for the absence of points of the point spectrum of a singular perturbed positive self-adjoint operator with the propert...