On the Inverse Scattering Problem for the SchrödingeEquation with Increasing Potential

Khanmamedov A. K., MƏMMƏDOVA A.

Azerbaijan Journal of Mathematics, vol.15, no.2, pp.105-112, 2025 (ESCI) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 15 Say: 2
  • Nəşr tarixi: 2025
  • Doi nömrəsi: 10.59849/2218-6816.2025.2.105
  • jurnalın adı: Azerbaijan Journal of Mathematics
  • Jurnalın baxıldığı indekslər: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
  • Səhifə sayı: pp.105-112
  • Açar sözlər: Airy function, inverse scattering problem, Macdonald functiongrowing potential, main integral equations, Schrödinger equation
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Bəli

Qısa məlumat

The one-dimensional Schrödinger equation on the entire axis is considered, the potential of which at the left end grows as a quadratic function, and at the right end as a linear function. The inverse scattering problem is studied by the method of transformation operators. The main integral equations of the Marchenko type are obtained, allowing the inverse problem to be solved.