NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2019, 10 (2), P. 131–140
A model of an electron in a quantum graph interacting with a two-level system
A. A. Boitsev – ITMO University, Kronverkskiy, 49, St. Petersburg, 197101, Russia; boitsevanton@gmail.com
I.Y. Popov – ITMO University, Kronverkskiy, 49, St. Petersburg, 197101, Russia; popov1955@gmail.com
A model of an electron in a quantum graph interacting with a two-level system is considered. The operator describing the model has the form of sum of tensor products. Self-adjoint extensions and a scattering matrix are written in terms of a boundary triplet, corresponding to the considered symmetric operator. Diagrams of reflection are calculated and numerical results are discussed.
Keywords: Aharonov-Bohm ring, nanostructure, quantum graph, scattering, solvable model.
PACS 03.65.Nk, 73.23.Ad
DOI 10.17586/2220-8054-2019-10-2-131-140
