Feynman integral treatment of the Bargmann potential

A method based on path integral formulation is given for obtaining exact solution of the s states for the Bargmann potentialV(r)=1ka2β(β-1)e-2r/a1-e-r/a2-Ae-r/a1-e-r/a,where β and k are parameters. The exact energy spectrum and the normalised s-state eigenfunctions are obtained from the poles of the Green function and their residues, respectively. The results are compared with their of Schrödinger formalism, special cases are also discussed.