An evaluation of powers of the negative spectrum of Schrodinger operator equation with a singularity at zero

Hashimoglu I.

BOUNDARY VALUE PROBLEMS, 2017 (SCI İndekslerine Giren Dergi) identifier identifier


In this study, we Investigate the discreteness and finiteness of the negative spectrum of the differential operator L in the Hilbert space L-2(H, [0, infinity)), defined as L-y = -d(2)y/dx(2) + A(A+1)/x(2) y - Q(x)y, under the boundary condition y(0) = 0.& para;& para;In the case when the negative spectrum is finite, we obtain an evaluation for the sums of powers of the absolute values of negative eigenvalues. The obtained result is applied to a class of equations of mathematical physics.