Approximate solutions of Schrodinger equation for Eckart potential with centrifugal term


Taskin F., Koçak G.

CHINESE PHYSICS B, vol.19, no.9, 2010 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 9
  • Publication Date: 2010
  • Doi Number: 10.1088/1674-1056/19/9/090314
  • Title of Journal : CHINESE PHYSICS B
  • Keywords: Schrodinger equation, Eckart potential, bound state, BOUND-STATES, DIRAC-EQUATION, VECTOR, SPIN

Abstract

The approximate analytical solutions of the Schrodinger 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, = xi = lambda, and beta = 0, are investigated.

The approximate analytical solutions of the Schrodinger 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, = xi = lambda, and beta = 0, are investigated.