In this work, we investigate the behaviour of the effective g-factor of an
electron in a quantum well wire (QWW) as a function of an external magnetic
field B parallel to the wire axis, and of the wire widths. Using a parabol
ic confinement potential, we obtain the energy sub-bands of the electron fr
om a self-consistent solution of the Schrodinger and the Poisson equations.
The effective g-factor decreases with B and decreases with increasing quan
tum well width. A comparison with a square confinement potential is present
ed.