Quantum hydrodynamics of spinning particles in electromagnetic and torsion fieldsстатья
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Дата последнего поиска статьи во внешних источниках: 26 января 2022 г.
Аннотация:We develop a many-particle quantum-hydrodynamical model of fermion matter interactingwith the external classical electromagnetic and gravitational/inertial and torsion fields. The consistent hydrodynamical formulation is constructed for the many-particle quantum system of Diracfermions on the basis of the nonrelativistic Pauli-like equation obtained via the Foldy–Wouthuysentransformation. With the help of the Madelung decomposition approach, the explicit relations between the microscopic and macroscopic fluid variables are derived. The closed system of equationsof quantum hydrodynamics encompasses the continuity equation, and the dynamical equations ofthe momentum balance and the spin density evolution. The possible experimental manifestations ofthe torsion in the dynamics of spin waves is discussed.