Abstract
We calculate exact criteria for the existence of the point spectrum of the Laplace operator in ℝ3 perturbed by δ-potentials concentrated at the vertices of regular polyhedra, depending on the distances between the perturbation centers and on the coupling constant.
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Translated from Neliniini Kolyvannya, Vol. 7, No. 2, pp. 147–154, April–June, 2004.
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Dudkin, M.E. On the point spectrum of the Laplace operator with δ-potentials at the vertices of regular polyhedra. Nonlinear Oscill 7, 145–153 (2004). https://doi.org/10.1007/s11072-005-0001-2
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DOI: https://doi.org/10.1007/s11072-005-0001-2