Journal of Physical Studies 1(2), 191–200 (1997)
DOI: https://doi.org/10.30970/jps.01.191

THE WEAKLY RELATIVISTIC SYSTEM OF CHARGED PARTICLES WITH SPINS IN THE EXTERNAL ELECTROMAGNETIC FIELD

L. Blazhievsky, Yu. Krynytskyi
Ivan Franko Lviv State University, Chair of Theoretical Physics
12 Drahomanov Str., Lviv, UA-290005, Ukraine
E-mail: yuri@ktf.franko.lviv.ua

The weakly relativistic system of charged particles with spins in the external electromagnetic field is considered. Besides Coulomb and magnetic interactions, the spin–spin, spin–orbital and contact interactions are also taken into account. A ‟mixed" representation of the statistical operator in the form of a regularized path integral for coordinate degrees of freedom and simple exponent operator for spin degrees of freedom is proposed. The weakly relativistic Hamilton function is obtained in random phase approximation. The screening of the interaction of charges by the magnetic field is proved. The thermodynamical potential of the system and generating functional for the temperature Green function is calculated. These results are used for obtaining static dielectric and magnetic permitivities. The analysis of the role of relativistic kinematic and relativistic spin effects is carried out in the limits of absolute zero and high temperatures.

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