Application of unitary group methods to cooperative phenomena in magnetic materials

Preliminary results indicate that the methods of the unitary group approach to atomic and molecular structure calculations are extensible to other systems particularly to cooperative phenomena in magnetic film materials. It is shown that the many particle bases can be represented heirarchically in terms of Weyl-Young tableaux which are indicators of the internal atomic structure. This is particularly relevant when individual magnetic species are in close proximity and the detailed structure of each species cannot be ignored. Some actual numerical results will be presented