  Those who measure success with culmination do not seem to be aware that life
is a journey not a destination. This spirit is best reflected in the unceasing
failures in efforts for solving the problem of controlled thermonuclear fusion
for even the simplest pinches for over decades; and the nature keeps us
challenging with examples. However, these efforts have permitted researchers
the obtention of a dense plasma with a lifetime that, albeit short, is
sufficient to study the physics of the pinch effect, to create methods of
plasma diagnostics, and to develop a modern theory of plasma processes. Most
importantly, they have impregnated the solid state plasmas, particularly the
electron-hole plasmas in semiconductors, which do not suffer from the issues
related with the confinement and which have demonstrated their potential not
only for the fundamental physics but also for the device physics. Here, we
report on a two-component, cylindrical, quasi-one-dimensional quantum plasma
subjected to a {\em radial} confining harmonic potential and an applied
magnetic field in the symmetric gauge. It is demonstrated that such a system as
can be realized in semiconducting quantum wires offers an excellent medium for
observing the quantum pinch effect at low temperatures. An exact analytical
solution of the problem allows us to make significant observations:
surprisingly, in contrast to the classical pinch effect, the particle density
as well as the current density display a {\em determinable} maximum before
attaining a minimum at the surface of the quantum wire. The effect will persist
as long as the equilibrium pair density is sustained. Therefore, the
technological promise that emerges is the route to the precise electronic
devices that will control the particle beams at the nanoscale.
