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The analysis of nonlinear interaction of transversal electromagnetic fieldwith quantum collisionless plasma is carried out. Formulas for calculationelectric current in quantum collisionless plasma at any temperature arededuced. It has appeared, that the nonlinearity account leads to occurrence ofthe longitudinal electric current directed along a wave vector. This secondcurrent is orthogonal to the known transversal classical current, received atthe classical linear analysis. The case of degenerate electronic plasma isconsidered. It is shown, that for degenerate plasmas the electric current iscalculated under the formula, not containing quadratures. In this formula wehave allocated known Kohn's singularities (W. Kohn, 1959).

Nonlinear interaction of electromagnetic field with quantum plasma