2017
Том 69
№ 9

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

Dudkin M. Ye.

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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.

English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 8, pp 1343-1352.

Citation Example: Dudkin M. Ye. Point spectrum of the schrödinger operator with point interactions at the vertices of regular N-gons // Ukr. Mat. Zh. - 2004. - 56, № 8. - pp. 1128–1134.

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