Green's functions and magnetization of uniaxial ferromagnets with single-ion anisotropy in a transverse field

The method of Green's functions is used to study in detail the problem of calculating the magnetization of a uniaxial ferromagnet with spin $S=1$ in a transverse magnetic field. For systems with arbitrary spin, a technique is proposed for decoupling of the crystalline anisotropy terms. It is used in calculations of the magnetizations of one- and two-sublattice ferromagnets in a transverse field. The method of Green's functions is used to study in detail the problem of calculating the magnetization of a uniaxial ferromagnet with spin $S=1$ in a transverse magnetic field. For systems with arbitrary spin, a technique is proposed for decoupling of the crystalline anisotropy terms. It is used in calculations of the magnetizations of one- and two-sublattice ferromagnets in a transverse field.