Completeness of resonance states for quantum graph with two semi-infinite edges

Dirac operator with different potentials on edges of quantum graph: resonance asymptotics

“…Resonances have attracted great attention over time. There are a number of works concerning the problem of resonances, particularly the completeness of resonance states which is related to the resonance asymptotics (see, e.g., [7][8][9][10][11][12][13][14][15][16][17]). The purpose of this paper is to investigate the asymptotics of the resonances of the Dirac operator on a quantum graph.…”