Geodesic
A model of an electron in a quantum graph interacting with a two-level system
Nanosistemy: fizika, himiâ, matematika, Tome 10 (2019) no. 2, pp. 131-140

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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, quantum graph, scattering
Mots-clés : nanostructure, solvable model. 
@article{NANO_2019_10_2_a2,
     author = {A. A. Boitsev and I. Yu. Popov},
     title = {A model of an electron in a quantum graph interacting with a two-level system},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {131--140},
     publisher = {mathdoc},
     volume = {10},
     number = {2},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2019_10_2_a2/}
}
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A. A. Boitsev; I. Yu. Popov. A model of an electron in a quantum graph interacting with a two-level system. Nanosistemy: fizika, himiâ, matematika, Tome 10 (2019) no. 2, pp. 131-140. http://geodesic.mathdoc.fr/item/NANO_2019_10_2_a2/