Pseudo-Orbit Expansion for the Resonance Condition on Quantum Graphs and the Resonance Asymptotics |

J. Lipovský
Department of Physics, Faculty of Science, University of Hradec Králové, Rokitanského 62, 500 03 Hradec Králové, Czechia |

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In this note we explain the method how to find the resonance condition on quantum graphs, which is called pseudo-orbit expansion. In three examples with standard coupling we show in detail how to obtain the resonance condition. We focus on non-Weyl graphs, i.e. the graphs which have fewer resonances than expected. For these graphs we explain benefits of the method of "deleting edges" for simplifying the graph. |

DOI: 10.12693/APhysPolA.128.968 PACS numbers: 03.65.Ge, 03.65.Nk, 02.10.Ox |