Dirac Theory in Hydrodynamic Form

Abstract

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 possible to see that the velocity as is usually defined can not actually represent the tangent vector to the trajectories of particles. We propose an alternative definition for this tangent vector and hence for the trajectories of particles, which we believe to be new and in fact the only one that is possible. Finally we discuss how these results are a necessary step to take in order to face further problems, like the definition of trajectories for the multi-particle systems.

arXiv comment7 pages

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Cited by in corpus (8)

• Mechanical form factors and densities of non-relativistic fermions
• Dirac hydrodynamics in 19 forms
• Classical characters of spinor fields in torsion gravity
• Madelung Structure of the Dirac Equation
• Geometry of spinors: doubly-chiral plane-wave expansion
• Dirac field, van der Waals gas, Weyssenhoff fluid, Newton particle
• Euler and Pontryagin currents of the Dirac operator
• A solution of the quantum time of arrival problem via mathematical probability theory