Dirac hydrodynamics in 19 forms

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 $19$ different rearrangements, by explicitly showing the $19$ minimal systems of hydrodynamic equations that are equivalent to the Dirac equations.

arXiv comment9 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"

References in corpus (8)

• Relativistic hydrodynamics for spin-polarized fluids
• Relativistic second-order dissipative spin hydrodynamics from the method of moments
• Linear response theory of relativistic hydrodynamics with spin
• Spinors in Polar Form
• Weyl and Majorana Spinors as Pure Goldstone Bosons
• Fundamental Theory of Torsion Gravity
• Dirac Theory in Hydrodynamic Form
• de Broglie-Bohm formulation of Dirac fields

Cited by in corpus (3)

• Polar form of Dirac fields: implementing symmetries via Lie derivative
• Classical characters of spinor fields in torsion gravity
• Madelung Structure of the Dirac Equation