Statistics of the Multi-Component System of Quantum Particles

This paper contains the theoretical solution of the problem of creating statistics for multi-component quantum system ofparticles in conditions of additional restrictions. This problem appears for solving applied problems that are related to the interaction of the plasma formations with other bodies, objects andfields. For the solving problem authors suggested mathematical formulation of statistical weight for multi-component quantum system. The physical formulation of the problem has demanded introduction of additional restrictions, used in rational parameters definition with help of the method of Lagrange multipliers. In the limiting cases the generalized approach turns to the well-known Fermi-Dirac, Bosa-Einstein and Maxwell-Boltzmann statistics. In view with the additional restriction on volume occupied by the system the main thermodynamics identify in the generalized form was used for the determination of the Lagrange multipliers that allows to describe the plasma formations located in a limited volume.

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