An exact path-integral treatment of the s states for the Hulthén potential is presented. A procedure of the nontrivial change of variable accompanied by the local time rescaling is given in detail. The dimensional extension trick is applied to convert the radial path integral into a path integral in the SU(2) manifold. The exact energy spectrum and the normalized s-state eigenfunctions are obtained from the poles of the Green function and their residues, respectively. The Yukawa and the Coulomb limits are also discussed.

• Received 30 June 1986

DOI:https://doi.org/10.1103/PhysRevA.34.4621