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; email@example.com
I.Y. Popov – ITMO University, Kronverkskiy, 49, Saint Petersburg, 197101, Russia; firstname.lastname@example.org
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.