STARK-EFFECT IN HYDROGEN - RECONSTRUCTION OF THE COMPLEX GROUND-STATEENERGY FROM THE COEFFICIENTS OF AN ASYMPTOTIC PERTURBATION EXPANSION

We consider the Stark effect for the ground state of hydrogen. Using t he Borel summability of the Rayleigh-Schrodinger perturbation expansio n we sum it about the pure imaginary field strength E = iF, F is real. As a result we obtain the series converging for small values of F. We give arguments that this series converges for all positive finite val ues of F. The series obtained can be continued analytically back to th e real field strength region. This method allows one to obtain accurat e results for the hydrogenic Stark resonances with slight computationa l effort.