  The analysis of nonlinear interaction of transversal electromagnetic field
with Maxwellian collisionless classical and quntum plasmas is carried out.
Formulas for calculation electric current in Maxwellian collisionless classical
and quntum plasmas 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 current,
received at the classical linear analysis. Graphic comparison of density of
electric current for classical Maxwellian plasmas and Fermi---Dirac plasmas
(plasmas with any degree of degeneration of electronic gas) is carried out.
Graphic comparison of density of electric current for classical and quantum
Maxwellian plasmas is carried out. Also comparison of dependence of density of
electric current of quantum Maxwellian plasmas from dimensionless wave number
at various values of dimensionless frequency of oscillations of electromagnetic
field is carried out.
