HYPOTHESIS FOR THE QUANTIZATION OF ELECTRODYNAMIC PARAMETERS IN PLASMAS APPLIED TO THE EQUATIONS OF MOTION.

Abstract

Alfven formulated a more general basis of plasma theory by using current densities to cover space charges and electrostatic double layer, to which the usual B-field description is complementary. Extending B to magnetic flux per density, a quantum complementarity is given which can be used to formulate a quantum operator for B. The nonlinear force equation of motion in its most general stationary (monochromatic) formulation as derived from laser-plasma interaction from the criterion of shear-free motion at oblique incidence) is rewritten in favour of the j-description. Using the quantization of B, an operator equation is achieved for the equation of motion to define distribution functions in a similar way as the operator equation from the energy equation (Schroedinger equation) determines distribution functions, known as wave functions.