ON THE ASYMPTOTICS OF EIGENVALUES OF THE NEUMANN PROBLEM FOR THE SCHRODINGER ¨ OPERATOR

Authors

• Azerbaijan State Oil and Industry University, Baku, Azerbaijan
• Araz Aliev

Page

3-11

Abstract

. In this paper, we study the change in the eigenvalues of the Neumann problem for the Schr¨odinger equation with respect to the radius of the ball. We prove the self-adjointness of the Schr¨odinger operator with a spherically symmetric homogeneous potential and obtain asymptotic formulas for the eigenvalues of the Neumann problem as the radius of the ball tends to zero.

Recommended Citation

Azerbaijan State Oil and Industry University, Baku, Azerbaijan and Aliev, Araz (2024) "ON THE ASYMPTOTICS OF EIGENVALUES OF THE NEUMANN PROBLEM FOR THE SCHRODINGER ¨ OPERATOR," Baku Mathematical Journal: Vol. 3: Iss. 1, Article 1.
DOI: 10.32010/j.bmj.2024.01
Available at: https://www.bakumathj.org/home/vol3/iss1/1