Bound states and spectral singularities of an impulsive Schrodinger equation

Yildirim E.

TURKISH JOURNAL OF MATHEMATICS, cilt.42, sa.4, ss.1670-1679, 2018 (SCI-Expanded, Scopus, TRDizin) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 4
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3906/mat-1705-123
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1670-1679
  • Anahtar Kelimeler: Spectral analysis, spectral singularities, bound states, Schrodinger operators, point interaction, ADJOINT DIFFERENCE-OPERATORS, QUADRATIC PENCIL, DISSIPATIVE OPERATORS, CONTROLLABILITY, EXPANSION
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we study the analytical properties of the Jost function of an impulsive Schrodinger equation. We also investigate the bound states and spectral singularities of this equation. We present some conditions on the potential function that guarantee that the impulsive Schrodinger equation has a finite number of bound states and spectral singularities with finite multiplicities.