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Dirac Theory in Hydrodynamic Form
Luca Fabbri
We consider quantum mechanics written in hydrodynamic formulation for the case of relativistic spinor fields to study their velocity: within such a hydrodynamic formulation it is p…
de Broglie-Bohm formulation of Dirac fields
Luca Fabbri
We present the theory of Dirac spinors in the formulation given by Bohm on the idea of de Broglie: the quantum relativistic matter field is equivalently re-written as a special typ…
Relativistic dynamical inversion in manifestly covariant form
A. G. Campos, Luca Fabbri
The Relativistic Dynamical Inversion technique, a novel tool for finding analytical solutions to the Dirac equation, is written in explicitly covariant form. It is then shown how t…
A Square-Integrable Spinor Solution to Non-Interacting Dirac Equations
Luca Fabbri, Roberto Cianci, Stefano Vignolo
We consider the Dirac equation written in polar form, without any external potential but equipped with a non-zero tensorial connection, and we find a new type of solution that is l…
Angular-Radial Integrability of Coulomb-like Potentials in Dirac Equations
Luca Fabbri, Andre G. Campos
We consider the Dirac equation, written in polar formalism, in presence of general Coulomb-like potentials, that is potentials arising from the time component of the vector potenti…