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Applying the separated spin evolution quantum hydrodynamics totwo-dimensional electron gas in plane samples and nanotubes located in externalmagnetic fields we find new kind of wave in electron gas, which is called thespin-electron acoustic wave. Separate spin-up electrons and spin-down electronsevolution reveals in replacement of the Langmuir wave by the couple of hybridwaves. One of two hybrid waves is the modified Langmuir wave. Another hybridwave is the spin-electron acoustic wave. We study dispersion of these waves intwo dimensional structures of electrons. We also consider dependence ofdispersion properties on spin polarisation of electrons in external magneticfield.

europhysics letters

Separated spin-up and spin-down evolution of degenerated electrons in  two dimensional systems: Dispersion of longitudinal collective excitations in  plane and nanotube geometry