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.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 8, pp. 1128–1134, August, 2004.
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Dudkin, M.E. Point spectrum of the schrödinger operator with point interactions at the vertices of regular N-gons. Ukr Math J 56, 1343–1352 (2004). https://doi.org/10.1007/s11253-005-0061-6
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DOI: https://doi.org/10.1007/s11253-005-0061-6