With the help of Keldysh diagram technique we rigorously calculate the
nonlinear optical (NLO) susceptibility of a conjugated polymer in one
electron two band continuum Linearized model with constant dimerizati
on for the d.c. Kerr effect (Electroabsorption, EA). The explicit anal
ytical formula obtained for chi(EA)((3))(omega) is accurate in the ent
ire frequency range in the lowest order in the quasiparticle relaxatio
n constant. Its comparison to the results on the quadratic electro-opt
ic nonlinear susceptibility in PTV reveals qualitative agreement betwe
en theory and experiment.