Bound states for Laplacian perturbed by varying potential supportedby line in R3
https://doi.org/10.17586/2220-8054-2021-12-5-549-552
Abstract
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.
Supporting agencies: The reported study was funded by RFBR, project number 20-31-90050.
About the Author
A. S. Bagmutov
ITMO University
Russian Federation
Russian Federation
Kronverkskiy, 49, Saint Petersburg, 197101
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Review
For citations:
Bagmutov A.S. Bound states for Laplacian perturbed by varying potential supportedby line in R3. Nanosystems: Physics, Chemistry, Mathematics. 2021;12(5):549-552. https://doi.org/10.17586/2220-8054-2021-12-5-549-552
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