Pis’ma v ZhETF, vol. 105, iss. 4, pp. 236 – 237 2017 February 25 c Kinetics of local “magnetic” moment and non-stationary spin-polarized current in the single impurity Anderson-model N. S.Maslova+, V.N.Mantsevich+1), P. I.Arseyev∗Ч +Moscow State University, Department of Physics, 119991 Moscow, Russia ∗P.N. Lebedev Physical institute of RAS, 119991, Moscow, Russia ЧRussia National Research University Higher School of Economics, 101000 Moscow, Russia Submitted 5 July 2016 Resubmitted 28 December 2016 DOI: 10.7868/S0370274X17040117 The creation, diagnostics and controlled manipulation of charge and spin states of the impurity atoms or quantum dots (QDs) are one of the most important problems in nano-electronics now a days [1–3]. <...> Modern ultra small size electronic devices design with a given set of electronic transport parameters requires careful analysis of non-stationary effects, transient processes and time evolution of electronic states prepared at the initial time moment [4–9]. <...> So, it is necessary to investigate the time dependent dynamics of initial spin and charge configurations of correlated impurity or QD. <...> Moreover, the characteristics of stationary state of single impurity interacting with the reservoir in the presence of strong Coulomb correlations are not completely understood [10–12]. <...> The possibility of the localized non-zero magnetic moment existence on the single impurity or single-level QD, interacting with the reservoir, in the absence of external magnetic field is still unclear. <...> Results obtained in the mean-field approximation for the one-level Anderson model allowing the presence of magnetic state (electron occupation numbers with opposite spins have different values) for the single impurity with strong oncite Coulomb repulsion seems to be rather questionable. <...> The single-impurity Anderson model for a long time served as a basic one for the understanding of the nature of local magnetic moments in solids [13, 14]. <...> The most adequate approach for this problem analysis is based on the non-stationary kinetic equations for localized electron occupation numbers and their correlation functions, taking into account all high-order correlation functions for the localized electrons. <...> The simplest way to obtain the system of kinetic equations is the Heisenberg <...>