31 citations · 53 across the 9 of their papers we have counts for
4 papers · 1 filter
Polar Form of the Dirac Operator in Low-Dimensional Space-Times
Luca Fabbri, Giuseppe De Maria
We express in polar form the Dirac operator as left-multiplication by an assigned matrix: we use this technique to find its right-resolvent for low-dimensional spaces.
A note on spinor fields in spherical symmetry
Stefano Vignolo, Luca Fabbri
By employing the polar re-formulation, we show that there are no solutions of the Dirac equations in spherical symmetry when the spinor is required to satisfy the same symmetries a…
Dirac Fields in Hydrodynamic Form and their Thermodynamic Formulation
Luca Fabbri, Stefano Vignolo, Giuseppe De Maria +1
We consider the theory of spinor fields written in polar form and we re-express it in terms of the so-called covariant splitting: after this is done for the basic k…
Polar form of Dirac fields: implementing symmetries via Lie derivative
Luca Fabbri, Stefano Vignolo, Roberto Cianci
We consider the Lie derivative along Killing vector fields of the Dirac relativistic spinors: by using the polar decomposition we acquire the mean to study the implementation of sy…