Abstract
Double-time Green's functions are used to study dipolar and biaxial ordering in the presence of a uniaxial field for the spin-1 exchange interaction model of ferromagnetism. The decoupling of the Green's function equations of motion hierarchy is based upon the identification of the members of the spin-1 basis operator set whose diagonal susceptibilities diverge in the ordered phase as the statistically independent members of the basis set. In contrast to standard double-time Green's function techniques, the results are unambiguous and the result for the critical temperature in the vanishing field limit compares very favorably with the high-temperature series expansion result.
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