The Hydrodynamic Representation of the Quantum Relativistic Dynamics of the Electron

2023/09/07 by Loris D’Alessi, D'Alessi, Loris
Physics and Astronomy · #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics

paper · pdf · doi:10.48550/arxiv.2309.04495

openalex publication_date 2023/09/07 · openalex created_date 2023/09/13 · openalex updated_date 2026/07/28

Abstract

In this work, the action of the relativistic electron is derived from the hydrodynamic formulation of the Dirac equation. In particular, in the hydrodynamic scenario, the four-velocity of the electron is regarded as an Eulerian field and the electron spin interacts with the corresponding vorticity field. In the second part of the work, it is shown how the second order Dirac equation can be derived from a principle of Minimum Fisher Information.

Related

• The quantum hydrodynamic formulation of Dirac equation and its generalized stochastic and non-linear analogs
• Relativistic hydrodynamics of particles with spin 1/2
• Relativistic Mechanics Theory for Electrons that Exhibits Spin, Zitterbewegung, Superposition and Produces Dirac's Wave Equation
• A Method for Deriving the Dirac Equation from the Relativistic Newton's Second Law
• The relativistic quantum hydrodynamic representation of Klein-Gordon equation