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; firstname.lastname@example.org
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.