| Resumen |
We first present a new constraint condition on the confluent Heun functionH(C)(alpha,beta,gamma,delta,eta;z) (beta,gamma >= 0,z is an element of [0, 1]) and then illustrate how to solve the rigid rotor in the electric field. We find its exact solutions unsolved previously through solving the Wronskian determinant. The present results compared with those by the perturbation methods are found to have a big difference for a large parametera. We also present 2D and 3D probability density distributions by choosing different angular momentum quantum numbersl. We observe that the original eigenvalues with degeneracy (2l + 1) are split into the (l + 1) state with approximate eigenvaluesl(l + 1) for smallabut largel. |
