Trilocal structures. IV. momentum-dependent tree functions

Enlarging the set of tree functions to include those which depend on the momentum vector has the effect of introducing new families and subfamilies of functions. Four auxiliary conditions are used in the generation of these functions. These auxiliary conditions introduce, as eigenvalues, four parameters in terms of which the coefficients of the momentum-dependent functions can then be expressed as linear combinations of the 16 leading coefficients. These 16 are all rest-system coefficients. Thus the momentum-dependent part of the expansion is expressible in terms of the rest-system portion, using only these four parameters.