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

https://doi.org/10.17586/2220-8054-2021-12-4-425-429

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.

About the Authors

A. G. Belolipetskaia
ITMO University
Russian Federation

Kronverkskiy, 49, Saint Petersburg, 197101.



I. Y. Popov
ITMO University
Russian Federation

Kronverkskiy, 49, Saint Petersburg, 197101.



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Review

For citations:


Belolipetskaia A.G., Popov I.Y. Dirac operator with different potentials on edges of quantum graph: resonance asymptotics. Nanosystems: Physics, Chemistry, Mathematics. 2021;12(4):425-429. https://doi.org/10.17586/2220-8054-2021-12-4-425-429

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ISSN 2220-8054 (Print)
ISSN 2305-7971 (Online)