General Solution of the Schrodinger Equation for Some Hyperbolic Potentials

Alici H., Tanriverdi T.

FEW-BODY SYSTEMS, cilt.61, sa.4, 2020 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 61 Sayı: 4
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s00601-020-01575-z
  • Dergi Adı: FEW-BODY SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

In this study, we obtain the recursive general solution of the Schrodinger equation y(v)'' (x; lambda) + [lambda - nu(nu + 1) v(x)] y(nu) (x; lambda) = 0 for some Poschl-Teller type potentials when nu = 0, 1, 2,.... As a by product of the general solution, the finitely many bound states of the squared hyperbolic secant and tangent potentials are also derived when equipped with some suitable boundary conditions over the real line.