Boundhyphen;state energies of the exponentially screened static and cosine Coulombic potentials

摘要

Bound state energies of the exponentially screened Coulomb potentials:V(r) =minus;Zeminus;agr;rcosegr;agr;r/r, static (egr;=0) and oscillatory (egr;=1), are obtained by a perturbation calculation on the basis of the Hultheacute;n functions. Closed form expressions of the perturbative matrix elements as well as of the Hultheacute;n functions, for rsquo;rsquo;Srsquo;rsquo; states and forlne;0 states (with an approximated rotational term), are obtained by the ladder operator method. When varying the values of the Hultheacute;n parameter, the first order perturbed eigenvalues of the screened potentials are found to be close to the exact values. New results (lne;0) are given for the cosine case.