On the transverse dielectric permittivity of the collisionless plasmas with quantum effects

An expression is found for the transverse dielectric permittivity of a collisionless nonrelativistic fully ionized plasma, which consequently takes into account quantum effects in the presence of an intrinsic magnetic moment of plasma particles. The frequency and spatial dispersion of the dielectric permittivity under various thermodynamic parameters are investigated. The obtained dielectric permittivity is compared with the known theoretical results for a collisionless plasma in the classical limit.