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The Hydrodynamic Representation of the Quantum Relativistic Dynamics of the Electron
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The Hydrodynamic Representation of the Quantum Relativistic Dynamics of the Electron
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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.
Forward citations
Cited by 2 Pith papers
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The Schrodinger Equation as a Gauge Theory
Schrödinger equation is locally equivalent to a non-relativistic gauge theory via one-form or two-form gauge fields on the probability current, with global topology from phase winding quantization.
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