The discreteness of the spectrum of the Schrodinger operator equation and some properties of the s-numbers of the inverse Schrodinger operator

Hashimoglu I., AKIN Ö., Mamedov K. R.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.42, ss.2231-2243, 2019 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 42 Konu: 7
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1002/mma.5489
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Sayfa Sayısı: ss.2231-2243

Özet

In this article, we investigate the discreteness and some other properties of the spectrum for the Schrodinger operator L defined by the formula Ly=-d(2)y/dx(2)+A(A+I)/x(2)y+Q(x)xy on the space L-2(H, [0, infinity)), where H is a Hilbert space. For the first time, an estimate is obtained for sum of the s-numbers of the inverse Schrodinger operator. The obtained results were applied to the Laplace's equation in an angular region.