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Scattering resonances of
large weakly open quantum graphs
Maxime Ingremeau |
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Vol. 4 (2022), No. 1, 49–83
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Abstract |
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We consider a sequence of open quantum graphs, with uniformly bounded data, and we are interested in the asymptotic distribution of their scattering resonances. Supposing that the number of leads in our quantum graphs is small compared to the total number of edges, we show that most resonances are close to the real axis. More precisely, the asymptotic distribution of resonances of our open quantum graphs is the same as the asymptotic distribution of the square root of the eigenvalues of the closed quantum graphs obtained by removing all the leads. |
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Keywords
quantum graphs, scattering resonances, scattering theory
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Mathematical Subject Classification
Primary: 35P20, 58J50, 81Q35
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Milestones
Received: 15 December 2020
Revised: 10 July 2021
Accepted: 9 October 2021
Published: 29 April 2022
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Authors |
| Maxime Ingremeau | |
| Université Côte d’Azur Laboratoire J. A. Dieudonné UMR CNRS 7351 Nice France |
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