Geodesic
Ballistic transport in nanostructures: explicitly solvable models
Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 1, pp. 12-20

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A relatively wide class of explicitly solvable models of the ballistic transport in nanostructures is constructed by means of operator extension theory. In the obtained models the transmission coefficient $T(E)$ has a simple dependence on the modeled device parameters as well as on the parameters of an external magnetic field. Some exemples of quantum point models are given, in which $T(E)$, and hence the conductance, exhibits an oscillatory behaviour. 
@article{TMF_1996_107_1_a1,
     author = {V. A. Geiler and I. Yu. Popov},
     title = {Ballistic transport in nanostructures: explicitly solvable models},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {12--20},
     publisher = {mathdoc},
     volume = {107},
     number = {1},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_107_1_a1/}
}
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V. A. Geiler; I. Yu. Popov. Ballistic transport in nanostructures: explicitly solvable models. Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 1, pp. 12-20. http://geodesic.mathdoc.fr/item/TMF_1996_107_1_a1/