Abstract
The fundamental equations of the microscopic quantum hydrodynamics of fermions in an external electromagnetic field (i.e., the particle balance equation, the momentum balance equation, the energy balance equation, and the magnetic moment balance equation) are derived using the Schrödinger equation. The form of the spin–spin interaction Hamiltonian is specified. To close the system of the balance equations for a multiparticle fermion system, the effective one-particle Schrödinger equation must be introduced.
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Kuzmenkov, L.S., Maksimov, S.G. & Fedoseev, V.V. Microscopic Quantum Hydrodynamics of Systems of Fermions: Part I. Theoretical and Mathematical Physics 126, 110–120 (2001). https://doi.org/10.1023/A:1005210416597
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DOI: https://doi.org/10.1023/A:1005210416597