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, sa.3, ss.279-296, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 3
  • Basım Tarihi: 2015
  • Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.279-296
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

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.