This article is cited in 106 papers

Microscopic Quantum Hydrodynamics of Systems of Fermions: Part I

L. S. Kuz'menkov, S. G. Maksimov, V. V. Fedoseev

M. V. Lomonosov Moscow State University, Faculty of Physics

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 Schrцdinger equation must be introduced.

Received: 22.06.2000

DOI: 10.4213/tmf420

 English version: Theoretical and Mathematical Physics, 2001, 126:1, 110–120

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