Approximate Solution of Schrödinger Equation for the Eckart Potential with the Centrifugal Term


TAŞKIN F., KOÇAK G.

CHINESE PHYSICS B, vol.19, 2010 (SCI-Expanded)

  • Publication Type: Article / Article
  • Volume: 19
  • Publication Date: 2010
  • Journal Name: CHINESE PHYSICS B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Erciyes University Affiliated: Yes

Abstract

The approximate analytical solutions of the Schr¨odinger equation for the Eckart potential are presented for the
arbitrary angular momentum by using a new approximation of the centrifugal term. The energy eigenvalues and the
corresponding wavefunctions are obtained for different values of screening parameter. The numerical examples are
presented and the results are in good agreement with the values in the literature. Three special cases, i.e., s-wave,
ξ = λ = 1, and β = 0, are investigated.