The order parameters of a spin-1 Ising film in a transverse field

Using the effective-field theory with a probability distribution technique that accounts for the self-spin-correlation functions, the layer longitudin al magnetizations and quadrupolar moments of a spin-1 Ising film and their averages are examined. These quantities as functions of the temperature, th e ratio of the surface exchange interactions to the bulk ones, the strength of the transverse field and the film thickness are calculated numerically and some interesting results are obtained.