Point spectrum of the schrödinger operator with point interactions at the vertices of regular <em class="a-plus-plus">N</em>-gons

  • M. Ye. Dudkin

Abstract

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 property of cyclicity of defect vectors.
Published
25.08.2004
How to Cite
DudkinM. Y. “Point Spectrum of the schrödinger Operator With Point Interactions at the Vertices of Regular <em class="a-Plus-plus">N</Em&gt;-Gons”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, no. 8, Aug. 2004, pp. 1128–1134, https://umj.imath.kiev.ua/index.php/umj/article/view/3827.
Section
Short communications