Analytical approximations to the l-wave solutions of the Schrodinger equation with a hyperbolic potential

作者：Dong Shishan; Miranda S G; Enriquez F M; Dong Shi Hai

来源：Modern Physics Letters B, 2008, 22(7): 483-489.

DOI：10.1142/S0217984908015024

• bound states
• hyperbolic potential
• arbitrary l state

The bound-state solutions of the Schrodinger equation for a hyperbolic potential with the centrifugal term are presented approximately. It is shown that the solutions can be expressed by the hypergeometric function 2F(1) (a, b; c; z). To show the accuracy of our results, we calculate the energy levels numerically for arbitrary quantum numbers n and l. It is found that the results are in good agreement with those obtained by other methods for short-range potential. Two special cases for l = 0 and sigma = 1 are also studied briefly.

• 单位
  大连大学