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Kyungpook Mathematical Journal 2021; 61(2): 249-255

Published online June 30, 2021

Copyright © Kyungpook Mathematical Journal.

On the Spectrum Discreteness for the Magnetic Schrödinger Operator on Quantum Graphs

Igor Y. Popov* and Anna G. Belolipetskaia

Department of Mathematics, ITMO University, Kronverkskiy, 49, Saint Petersburg, 197101, Russia
e-mail : popov1955@gmail.com and annabel1502@mail.ru

Received: December 24, 2019; Revised: July 30, 2020; Accepted: November 23, 2020

Abstract

The aim of this work is to study the discreteness of the spectrum of the Schröodinger operator on infinite quantum graphs in a magnetic field. The problem was solved on a set of quantum graphs of a special kind.

Keywords: quantum graph, spectrum, magnetic field