  The analysis of nonlinear interaction of transversal electromagnetic field
with quantum collisionless plasma is carried out. Formulas for calculation
electric current in quantum collisionless plasma at any temperature are
deduced. It has appeared, that the nonlinearity account leads to occurrence of
the longitudinal electric current directed along a wave vector. This second
current is orthogonal to the known transversal classical current, received at
the classical linear analysis. The case of degenerate electronic plasma is
considered. It is shown, that for degenerate plasmas the electric current is
calculated under the formula, not containing quadratures. In this formula we
have allocated known Kohn's singularities (W. Kohn, 1959).
