We investigate quantum kinetic theory for a massive fermion system under a rotational field. From the Dirac equation in curved space we derive the complete set of kinetic equations for the spin components of the covariant and equal-time Wigner functions. While the particles are no longer on a mass shell in general case due to the rotation-spin coupling, there are always only two independent components, which can be taken as the number and spin densities. With the help from the off-shell constraint we obtain the closed transport equations for the two independent components in classical limit and at quantum level. The classical rotation-orbital coupling controls the dynamical evolution of the number density, but the quantum rotation-spin coupling explicitly changes the spin density.
In order to better implement maintenance strategies according to equipment levels, this paper proposes a method based on the grey correlation interval Analytic hierarchy process(AHP)-Entropy method to divide the importance of production system equipment. First, a three-level importance evaluation index system for the production system equipment is established considering the characteristics of the production system in five aspects of operating rate, reliability, maintainability, economy and detectability. Next, the interval number is combined with the AHP and the Entropy method to obtain the interval AHP and the interval Entropy method, and the two methods are combined into an interval AHP-Entropy method to determine the combined weight of each evaluation index. Combined with the evaluated equipment, the grey correlation comprehensive evaluation analysis is performed, the grey correlation degree is calculated and ranked, and the equipment is finally divided by the ABC classification method. Finally, the method is applied to the equipment division of the actual production system. Compared with the interval AHP and interval Entropy method, the evaluation difference rates are reduced by 20% and 15%, respectively, which verifies the effectiveness of the method and provides an accurate and scientific method for equipment division.
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