Geodesic
Time dependent quantum graph with loop
Nanosistemy: fizika, himiâ, matematika, Tome 8 (2017) no. 4, pp. 420-425

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A quantum graph, consisting of a ring and segment is considered. We deal with the free Schrödinger ooperator at the edges and Kirchhoff conditions at the internal vertex. The lengths of the graph edges varies in time. Time evolution of wave packet is studied for different parameters of length varying law.
Keywords: quantum graph, spectrum
Mots-clés : time evolution. 
@article{NANO_2017_8_4_a1,
     author = {D. A. Eremin and E. N. Grishanov and O. G. Kostrov and D. S. Nikiforov and I. Yu. Popov},
     title = {Time dependent quantum graph with loop},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {420--425},
     publisher = {mathdoc},
     volume = {8},
     number = {4},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2017_8_4_a1/}
}
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D. A. Eremin; E. N. Grishanov; O. G. Kostrov; D. S. Nikiforov; I. Yu. Popov. Time dependent quantum graph with loop. Nanosistemy: fizika, himiâ, matematika, Tome 8 (2017) no. 4, pp. 420-425. http://geodesic.mathdoc.fr/item/NANO_2017_8_4_a1/