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NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2021, 12 (4), P. 425–429

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

A. G. Belolipetskaia – ITMO University, Kronverkskiy, 49, Saint Petersburg, 197101, Russia; annabel1502@mail.ru
I.Y. Popov – ITMO University, Kronverkskiy, 49, Saint Petersburg, 197101, Russia; popov1955@gmail.com

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.

DOI 10.17586/2220-8054-2021-12-4-425-429

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