"P(EE2.3.30.0015)" . "RIV/62690094:18470/14:50002975" . "In this article we sum up the results on resonances in quantum graphs. First, we introduce the notion of quantum graph. Then we distinguish two definitions of resonances - resolvent and scattering resonances. Moreover, we study eigenvalues of the Hamiltonian of the graph, which has rationally related lengths of the edges, and resonances which arise, when we break this rationality. Finally, we introduce the asymptotics of the number of resonances and show criteria, when it is non-Weyl."@en . . "Rezonance v kvantov\u00FDch grafech"@cs . . "asyptotics; quantum graphs; resonances"@en . . "42681" . "CZ - \u010Cesk\u00E1 republika" . . "[5A3611F8AD1A]" . . . "http://www.cscasfyz.fzu.cz/pdf/2014/6/14-6_353-356_Lipovsky_Rezonance%20v%20kvantovych%20grafech.pdf" . . "0009-0700" . "1"^^ . "V tomto \u010Dl\u00E1nku shrnujeme v\u00FDsledky o rezonanc\u00EDch v kvantov\u00FDch grafech. Nejd\u0159\u00EDve p\u0159edstav\u00EDme pojem kvantov\u00E9ho grafu. Pot\u00E9 rozli\u0161\u00EDme dv\u011B definice rezonanc\u00ED \u2014 rezolventn\u00ED a rozptylov\u00E9 rezonance. D\u00E1le studujeme vlastn\u00ED \u010D\u00EDsla hamiltoni\u00E1nu grafu, kter\u00FD m\u00E1 d\u00E9lky hran v racion\u00E1ln\u00EDm pom\u011Bru, a rezonance, kter\u00E9 vzniknou, kdy\u017E tuto racionalitu poru\u0161\u00EDme. Nakonec p\u0159edstav\u00EDme asymptotiku po\u010Dtu rezonanc\u00ED a uk\u00E1\u017Eeme krit\u00E9ria, kdy je asymptotika neweylovsk\u00E1."@cs . "18470" . "Rezonance v kvantov\u00FDch grafech" . "RIV/62690094:18470/14:50002975!RIV15-MSM-18470___" . "Resonances in quantum graphs"@en . "\u010Ceskoslovensk\u00FD \u010Dasopis pro fyziku" . "Rezonance v kvantov\u00FDch grafech"@cs . . . "V tomto \u010Dl\u00E1nku shrnujeme v\u00FDsledky o rezonanc\u00EDch v kvantov\u00FDch grafech. Nejd\u0159\u00EDve p\u0159edstav\u00EDme pojem kvantov\u00E9ho grafu. Pot\u00E9 rozli\u0161\u00EDme dv\u011B definice rezonanc\u00ED \u2014 rezolventn\u00ED a rozptylov\u00E9 rezonance. D\u00E1le studujeme vlastn\u00ED \u010D\u00EDsla hamiltoni\u00E1nu grafu, kter\u00FD m\u00E1 d\u00E9lky hran v racion\u00E1ln\u00EDm pom\u011Bru, a rezonance, kter\u00E9 vzniknou, kdy\u017E tuto racionalitu poru\u0161\u00EDme. Nakonec p\u0159edstav\u00EDme asymptotiku po\u010Dtu rezonanc\u00ED a uk\u00E1\u017Eeme krit\u00E9ria, kdy je asymptotika neweylovsk\u00E1." . "Rezonance v kvantov\u00FDch grafech" . . . "6" . "1"^^ . "4"^^ . . . . "Lipovsk\u00FD, Ji\u0159\u00ED" . "64" . "Resonances in quantum graphs"@en . .