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A quantum model for the interaction of a collectivized conduction electron with a crystal field in a homogeneous and isotropic deformed polycrystalline sample, taking into account the spin-orbit interaction, is proposed. A dynamic equation of motion of the conduction electron spin in a stress-strained metal is obtained. It is shown that under conditions of inhomogeneous torsion in the stationary case, the average spin of conduction electrons is oriented predominantly along the current density vector. The maximum value of the spin-orbit interaction is observed when the torsion axis is orthogonal to the current density vector.