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arXiv · 1811.03323

No relativistic probability current for any spin

Scott E. Hoffmann
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Abstract

We investigate whether the Newton-Wigner position probability density, extended from spinless particles to electrons/positrons and particles of higher spin, can be incorporated as the zero component of a four-component probability current density that transforms locally as a four-vector function of the spacetime coordinates. We find that this is not possible, in all cases.

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Scott E. Hoffmann. 2018-11-08. No relativistic probability current for any spin. https://doi.org/10.1088/1751-8121/ab1bc9

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