2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/43491A nonperturbative numerical evaluation of the one-photon electron self energy for the 3S and 4S states with charge numbers Z=1 to 5 is described. The numerical results are in agreement with known terms in the expansion of the self energy in powers of Zalpha.3 pages, RevTeX, to appear in Phys. Rev. AHigh Energy Physics - Phenomenologytext