Geodesic
Influence of quantum graph parameters on the asymptotics of the number of resonances
Čelâbinskij fiziko-matematičeskij žurnal, Tome 9 (2024) no. 4, pp. 682-688

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We study quantum graphs with the Dirac operator on edges and the Kirchhoff coupling condition at the vertices. The number of resonances is determined numerically. It is revealed how the parameters of the quantum graph (particularly, the topological structure and the volume of the quantum graph as well as the parameters of the Dirac operator) affect the number of resonances.
Keywords: quantum graph, Dirac operator, asymptotics, resonance. 
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     author = {A. G. Belolipetskaia and I. Yu. Popov},
     title = {Influence of quantum graph parameters on the asymptotics of the number of resonances},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {682--688},
     publisher = {mathdoc},
     volume = {9},
     number = {4},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2024_9_4_a12/}
}
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A. G. Belolipetskaia; I. Yu. Popov. Influence of quantum graph parameters on the asymptotics of the number of resonances. Čelâbinskij fiziko-matematičeskij žurnal, Tome 9 (2024) no. 4, pp. 682-688. http://geodesic.mathdoc.fr/item/CHFMJ_2024_9_4_a12/