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A numerical analysis of the self-interaction induced by a relativisticelectron/positron beam in the presence of an intense external longitudinalmagnetic field in plasmas is carried out. Within the context of the Plasma WakeField theory in the overdense regime, the transverse beam-plasma dynamics isdescribed by a quantumlike Zakharov system of equations in the long beam limitprovided by the Thermal Wave Model. In the limiting case of beam spot size muchlarger than the plasma wavelength, the Zakharov system is reduced to a 2DGross-Pitaevskii-type equation, where the trap potential well is due to theexternal magnetic field. Vortices, "beam halos" and nonlinear coherent states(2D solitons) are predicted.

Quantumlike description of the nonlinear and collective effects on relativistic electron beams in strongly magnetized plasmas