Abstract
The anisotropic Heisenberg Hamiltonian is exactly rewritten like the generalized Hubbard model Hamiltonian using atomic operators representation and treated with diagram technique for Hubbard operators. The theory of anisotropic ferromagnets is developed similarly to Vaks, Larkin and Pikin theory of isotropic ferromagnets. Quantum reduction of spin at T = 0, low temperature magnetization and Curie temperature are investigated for easy plane and cubic ferromagnets.
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