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Dirac Fields in Hydrodynamic Form and their Thermodynamic Formulation

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arxiv 2506.02608 v3 pith:BLKO3R5D submitted 2025-06-03 math-ph math.MP

Luca Fabbri , Stefano Vignolo , Giuseppe De Maria , Sante Carloni This is my paper
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abstract

We consider the theory of spinor fields written in polar form and we re-express it in terms of the so-called $1\!+\!1\!+\!2$ covariant splitting: after this is done for the basic kinematic variables, we proceed to decompose the dynamical equations, both for the case of the Dirac differential field equations and for the case of the energy density tensor. As an explicit example of a real physical application we deal with the hydrogen atom, superconductivity and an analogy with the van der Waals gas.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. A covariant approach to the Dirac field in LRS space-times: the case of coplanar frames

    gr-qc 2026-05 unverdicted novelty 5.0 of 10

    A covariant (1+1+2) formalism is developed for the Dirac field in LRS space-times, yielding analytical and numerical solutions for self-gravitating configurations.

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