Equation matricielle de Hartree‐Fock permettant de déterminer la n ième harmonique

The system of time‐dependent Hartree‐Fock equations allowing the calculation the of n th harmonic generation is established by using the same method used in a former paper in the same conditions. These equations are still subjected to orthonormalization conditions. Then by using a recurrence method, we express these equations in matrix form, as well as the orthonormalization conditions; and, as in the former paper, we then replace the solution of the matrix equation subjected to a constraint by that of a free equation. Finally the elimination of the spin variables allows a further simplification. So we obtain an equation allowing the calculation of the n th harmonic generation.