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


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.
How to Cite
Dudkin, M. 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.
Short communications