  We have obtained the solutions of linearized Shr{\"o}dinger equation for
spherically and axially symmetrical electrons density oscillations in plasma in
the approximation of the self-consistent field. It was shown that in the center
or on the axis of symmetry of such a system the static density of electrons can
enhance, which leads to the increasing of density and pressure of ion gas. We
suggest that this mechanism could be realized in nature as rare phenomenon
called the 'fireball' and could be used in carrying out the research concerning
controlled fusion.

Plasma Physics;Soft Condensed Matter;Atmospheric and Oceanic Physics