The Jost solutions to the Schrödinger equation with an additional complex potential

Abbasova K. E., Khanmamedov A. K., Bağırova S.

Transactions Issue Mathematics, Azerbaijan National Academy of Sciences, vol.42, no.1, pp.3-7, 2022 (Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 42 Say: 1
  • Nəşr tarixi: 2022
  • jurnalın adı: Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
  • Jurnalın baxıldığı indekslər: Scopus
  • Səhifə sayı: pp.3-7
  • Açar sözlər: non-self-adjoint differential operator, Schrödinger equation, the Jost solution, the space L2 (−∞, +∞) transformation operator
  • Adres: Bəli

Qısa məlumat

We consider the differential equation −y′′ + xeixy + q (x) y = k2y. Using transformation operators, we obtain representations of solutions of this equation with conditions at infinity. Estimates for the kernels of the transformation operators are obtained.