A model of an electron in a quantum graph interacting with a two-level system
https://doi.org/10.17586/2220-8054-2019-10-2-131-140
Abstract
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 .
Supporting agencies: This work was partially financially supported by the Government of the Russian Federation (grant 08-08), by grant 16-11-10330 of Russian Science Foundation.
About the Authors
A. A. Boitsev
ITMO University
Russian Federation
Russian Federation
Kronverkskiy, 49, St. Petersburg, 197101
I. Y. Popov
ITMO University
Russian Federation
Russian Federation
Kronverkskiy, 49, St. Petersburg, 197101
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Review
For citations:
Boitsev A.A., Popov I.Y. A model of an electron in a quantum graph interacting with a two-level system. Nanosystems: Physics, Chemistry, Mathematics. 2019;10(2):131-140. https://doi.org/10.17586/2220-8054-2019-10-2-131-140
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