On the Jost Solutions for a Class of Schrodinger Equations with Piecewise Constant Coefficients


Nabiev A. A. , Mamedov K. R.

JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, cilt.11, ss.279-296, 2015 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 11 Konu: 3
  • Basım Tarihi: 2015
  • Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY
  • Sayfa Sayıları: ss.279-296

Özet

In this paper, the new integral representations for the Jost solutions of the one-dimensional Schrodinger equation with the piecewise-constant leading coefficient are obtained. The connections, obtained between the kernel functions of the integral representations and the potential function of the Schrodinger equation, enable to solve the inverse scattering problem on the entire real line.