General Solution of the Schrodinger Equation for Some Hyperbolic Potentials

Alici H., Tanriverdi T.

FEW-BODY SYSTEMS, vol.61, no.4, 2020 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 61 Issue: 4
  • Publication Date: 2020
  • Doi Number: 10.1007/s00601-020-01575-z
  • Journal Name: FEW-BODY SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex
  • Middle East Technical University Affiliated: No

Abstract

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.