The path integral quantum-statistical approach to study the magnetic properties of the weakly relativistic interacting electron gas in the inhomogeneous magnetic field is suggested. In the random phase approximation the thermodynamic potential is calculated. In the case of absolute zero the magnetization and nonlinear magnetic susceptibility of the system are found. Both Landau diamagnetism and Pauli paramagnetism are taken into account. It is shown that in the region of high electron density the relativistic contributions are essential and lead to the increase of magnetic susceptibility.Comments: Figs. 0, Refs 5, Tabs 0.
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