Arbitrary l-state solutions of the Schrodinger equation for the Eckart potential with an improved approximation of the centrifugal term

作者：Stanek Jerzy^*

来源：Central European Journal of Physics, 2011, 9(6): 1503-1508.

DOI：10.2478/s11534-011-0071-y

• bound states
• Eckart potential
• centrifugal term

Applying an improved approximation scheme to the centrifugal term, the approximate analytical solutions of the Schrodinger equation for the Eckart potential are presented. Bound state energy eigenvalues and the corresponding eigenfunctions are obtained in closed forms for the arbitrary radial and angular momentum quantum numbers, and different values of the screening parameter. The results are compared with those obtained by the other approximate and numerical methods. It is shown that the present method is systematic, more efficient and accurate.

• 出版日期2011-12