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The tree-level two-point amplitudes for the transitions $jf \to j^{\, \prime}f^{\, \prime}$, where $f$ is a fermion and $j$ is a generalized current, in aconstant uniform magnetic field of an arbitrary strength and in charged fermionplasma, for the $jf$ interaction vertices of the scalar, pseudoscalar, vectorand axial-vector types have been investigated. The particular cases of a verystrong magnetic field, and of the coherent scattering off the real fermionswithout change of their states (the "forward" scattering) have been analysed.

Generalized two-point tree-level amplitude $jf \to j^{\, \prime} f^{\, \prime}$ in a magnetized medium (extended version)