Abstract
From a variational perspective, we derive a series of magnetization and quantum spin current systems coupled via an “s-d” potential term, including the Schroźdinger--Landau--Lifshitz--Maxwell system, the Pauli--Landau--Lifshitz system, and the Schroźdinger--Landau--Lifshitz system with successive simplifications. For the latter two systems, we propose using the time splitting spectral method for the quantum spin current and the Gauss--Seidel projection method for the magnetization. Accuracy of the time splitting spectral method applied to the Pauli equation is analyzed and verified by numerous examples. Moreover, behaviors of the Schroźdinger--Landau--Lifshitz system in different “s-d” coupling regimes are explored numerically.
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