Abstract

One-dimensional quantum hydrodynamic equations jointly with divergent equation for the electric field are applied to describe motion of electron fluid with self-consistent electric field. This means automatically that the self-field of single electron is taken into account. The quantum hydrodynamics equations are presented and discussed for the single electron and many-electron system. One-dimensional models of motion were used in numerical study of the dynamic properties such as the spatial distribution of the probability density, the electric field, and the quantum potential. The Fourier spectra of solutions were analyzed also. Self- consistent solutions for the motion electron fluid through the background positive charge were compared with that in an 'empty' space.

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