Geodesic
Quantum ring with wire: a model of two-particles problem
Nanosistemy: fizika, himiâ, matematika, Tome 2 (2011) no. 2, pp. 15-31.

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Operators describing the behavior of two particles with delta-interaction on a line and a ring are constructed. With using of these operators two particles model of quantum ring coupled with wire is described. The spectrum of the obtained operator is investigated from the point of view of existence of additional point levels. The comparison of the results with the corresponding one for one-particle problem is made under the assumption of weak particles interaction.
Keywords: Schrodinger equation, symmetric operator, Krein theory, operator extension, Green function. 
@article{NANO_2011_2_2_a1,
     author = {D. A. Eremin and I. Yu. Popov},
     title = {Quantum ring with wire: a model of two-particles problem},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {15--31},
     publisher = {mathdoc},
     volume = {2},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/NANO_2011_2_2_a1/}
}
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D. A. Eremin; I. Yu. Popov. Quantum ring with wire: a model of two-particles problem. Nanosistemy: fizika, himiâ, matematika, Tome 2 (2011) no. 2, pp. 15-31. http://geodesic.mathdoc.fr/item/NANO_2011_2_2_a1/