Inverse scattering problem for the Schrodinger-type equation with a polynomial energy-dependent potential

Nabiev A. A.

INVERSE PROBLEMS, cilt.22, sa.6, ss.2055-2068, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 6
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1088/0266-5611/22/6/009
  • Dergi Adı: INVERSE PROBLEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2055-2068
  • Sivas Cumhuriyet Üniversitesi Adresli: Hayır

Özet

In the present paper the inverse scattering problem for the Schrodinger-type equation with a polynomial energy-dependent potential is investigated on the entire real line (-infinity; +infinity). The scattering data of the scattering problem are defined and the properties of the data are studied. The system of the main integral equations of the scattering problem is derived and the potential functions are recovered.