RUS  ENG
Full version
JOURNALS // Chelyabinskiy Fiziko-Matematicheskiy Zhurnal // Archive

Chelyab. Fiz.-Mat. Zh., 2024 Volume 9, Issue 4, Pages 682–688 (Mi chfmj413)

Physics

Influence of quantum graph parameters on the asymptotics of the number of resonances

A. G. Belolipetskaia, I. Yu. Popov

ITMO University, Saint Petersburg, Russia

Abstract: We study quantum graphs with the Dirac operator on edges and the Kirchhoff coupling condition at the vertices. The number of resonances is determined numerically. It is revealed how the parameters of the quantum graph (particularly, the topological structure and the volume of the quantum graph as well as the parameters of the Dirac operator) affect the number of resonances.

Keywords: quantum graph, Dirac operator, asymptotics, resonance.

UDC: 530.145

Received: 01.10.2023
Revised: 05.08.2024

Language: English

DOI: 10.47475/2500-0101-2024-9-4-682-688



© Steklov Math. Inst. of RAS, 2025