  We investigate 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.
