Geodesic
A model of electron transport through a boson cavity
Nanosistemy: fizika, himiâ, matematika, Tome 9 (2018) no. 2, pp. 171-178

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We propose a model describing electronic transport through a boson cavity. We use the Jaynes–Cummings model dealing with a two-level quantum dot coupled to a quantized electro-magnetic field and two semi-infinite wires. The mathematical background of our model is given by the theory of self-adjoint extensions of symmetric operators. Using the boundary triplets approach, the gamma-field and the Weyl function were calculated. In addition, we obtained the scattering matrix for the model system.
Keywords: boundary triplets, extensions, scattering
Mots-clés : solvable model. 
@article{NANO_2018_9_2_a2,
     author = {A. A. Boitsev and J. Brasche and H. Neidhardt and I. Y. Popov},
     title = {A model of electron transport through a boson cavity},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {171--178},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2018_9_2_a2/}
}
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A. A. Boitsev; J. Brasche; H. Neidhardt; I. Y. Popov. A model of electron transport through a boson cavity. Nanosistemy: fizika, himiâ, matematika, Tome 9 (2018) no. 2, pp. 171-178. http://geodesic.mathdoc.fr/item/NANO_2018_9_2_a2/