  We discuss the effects of a strong magnetic field in Quantum Wires. We show
how the presence of a magnetic field modifies the role played by % which
%coefficients corresponding to electron electron interaction % and the Fermi
velocity producing a strong reduction of the backward scattering corresponding
to the Coulomb repulsion. We discuss the consequences of this and other effects
of magnetic field on the Tomonaga-Luttinger liquids and especially on their
power-law behaviour in all correlation functions.
  The focal point is the rescaling of all the repulsive terms of the
interaction between electrons with opposite momenta, due to the edge
localization of the electrons and to the reduction of the length scale. Because
of the same two reasons there are some interesting effects of the magnetic
field concerning the backward scattering due to the presence of one impurity
and the corresponding conductance. As an effect of the magnetic field we find
also a spin polarization induced by a combination of electrostatic forces and
the Pauli principle, quite similar to the one observed in large Quntum Dots.
