On the Asymptotics of Eigenvalues of the Neumann Problem for the Schrodinger ¨ Operator

. 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.