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MATHEMATICS
Dirac operator with different potentials on edges of quantum graph: resonance asymptotics
A. G. Belolipetskaia, I. Yu. Popov ITMO University, Kronverkskiy, 49, Saint Petersburg, 197101, Russia
Abstract:
Asymptotics of resonances for the Dirac operator with different potentials on edges of a quantum graph with the Kirchhoff coupling conditions at vertices is studied. The results are obtained for a quantum graph that consists of a compact interior and a finite number of exterior edges of infinite length connected to the interior.
Keywords:
quantum graph, Dirac operator, asymptotics, resonance.
Received: 18.07.2018
Citation:
A. G. Belolipetskaia, I. Yu. Popov, “Dirac operator with different potentials on edges of quantum graph: resonance asymptotics”, Nanosystems: Physics, Chemistry, Mathematics, 12:4 (2021), 425–429
Linking options:
https://www.mathnet.ru/eng/nano1036 https://www.mathnet.ru/eng/nano/v12/i4/p425
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Abstract page: | 61 | Full-text PDF : | 31 |
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