Quantum hydrodynamics of spinning particles in electromagnetic and torsion fields

Abstract

We develop a many-particle quantum-hydrodynamical model of fermion matter interacting with the external classical electromagnetic and gravitational/inertial and torsion fields. The consistent hydrodynamical formulation is constructed for the many-particle quantum system of Dirac fermions on the basis of the nonrelativistic Pauli-like equation obtained via the Foldy-Wouthuysen transformation. With the help of the Madelung decomposition approach, the explicit relations between the microscopic and macroscopic fluid variables are derived. The closed system of equations of quantum hydrodynamics encompasses the continuity equation, and the dynamical equations of the momentum balance and the spin density evolution. The possible experimental manifestations of the torsion in the dynamics of spin waves is discussed.

24 pages, no figures, Revtex

References in corpus (14)

• Constraints on Torsion from Lorentz Violation
• Preferred-Frame and CP-Violation Tests with Polarized Electrons
• Recent Progress in the Physics of Axions and Axion-Like Particles
• Spin-torsion coupling and gravitational moments of Dirac fermions: theory and experimental bounds
• Conservation laws in gravitational theories with general nonminimal coupling
• Torsion Phenomenology at the LHC
• Tests of Fundamental Quantum Mechanics and Dark Interactions with Low Energy Neutrons -- Extended Version
• Prospects of detecting spacetime torsion
• Searches for beyond-Riemann gravity
• Quantum hydrodynamics of the spinor Bose-Einstein condensate at non-zero temperatures
• Quantum gravitational states of ultracold neutrons as a tool for probing of beyond-Riemann gravity
• Zitterbewegung structure in electrons and photons
• Quantum hydrodynamics in the rotating reference frame
• Hydrodynamic description of Weyl fermions in condensed state of matter