The variation of eigenvalues of the two-dimensional magnetic Schrödinger operator with respect to the angle of a flat sector

Authors

ARAZ R. ALIEVFollow
ELSHAD H. EYVAZOVFollow

Author ORCID Identifier

ARAZ ALIEV: 0000-0001-6499-4110

ELSHAD EYVAZOV: 0000-0002-3852-4913

Abstract

A two-dimensional Schrödinger operator with a spherically symmetric electric potential and an Aharonov Bohm magnetic field in a circular sector under Neumann boundary conditions is considered. The intervals of the angular variation of the flat region are found, where the eigenvalues of the Neumann problem for the Schrödinger operator with a spherically symmetric electric potential strictly decrease monotonically in the Aharonov-Bohm magnetic field.

DOI

10.55730/1300-0098.3642

Keywords

Magnetic Schrödinger operator, Aharonov-Bohm field, spherically symmetric electric potential, Neumann boundary condition, eigenfunctions and eigenvalues

First Page

164

Last Page

172

Publisher

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

ALIEV, A. R, & EYVAZOV, E. H (2026). The variation of eigenvalues of the two-dimensional magnetic Schrödinger operator with respect to the angle of a flat sector. Turkish Journal of Mathematics 50 (1): 164-172. https://doi.org/10.55730/1300-0098.3642