Dirac hydrodynamics in 19 forms
arXiv:2309.00617 · doi:10.3390/sym15091685
Abstract
We consider the relativistic spinor field theory re-formulated in polar variables so to allow for the interpretation given in terms of fluid variables. After that the dynamics of spinor fields is converted as dynamics of a special type of spin fluid, we demonstrate that such conversion into dynamical spin fluid is not unique but it can be obtained through different rearrangements, by explicitly showing the minimal systems of hydrodynamic equations that are equivalent to the Dirac equations.
9 pages --- at https://www.mdpi.com/2073-8994/15/9/1685 in the Special Issue "Dirac Equations and Quantum Mechanics -- in Memory of Paul Adrien Maurice Dirac's 120-th Birthday"