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NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2021, 12 (5), P. 549–552

Bound states for Laplacian perturbed by varying potential supportedby line in R3

A. S. Bagmutov – ITMO University, Kronverkskiy, 49, Saint Petersburg, 197101, Russia; bagmutov94@mail.ru

We investigate a system with attracting δ-potential located along a straight line in 3D. It has constant intensity, except for a local region. We prove the existence of discrete spectrum and construct an upper bound on the number of bound states, using Birman-Schwinger method.

Keywords: operator extension theory, singular potential, spectrum.

DOI 10.17586/2220-8054-2021-12-5-549-552

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