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Proceedings Paper

Quantum mechanical probability current as electromagnetic 4-current from topological EM fields
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Paper Abstract

Starting from a complex 4-potential A = αdβ we show that the 4-current density in electromagnetism and the probability current density in relativistic quantum mechanics are of identical form. With the Dirac-Clifford algebra Cl1,3 as mathematical basis, the given 4-potential allows topological solutions of the fields, quite similar to Bateman’s construction, but with a double field solution that was overlooked previously. A more general nullvector condition is found and wave-functions of charged and neutral particles appear as topological configurations of the electromagnetic fields.

Paper Details

Date Published: 10 September 2015
PDF: 15 pages
Proc. SPIE 9570, The Nature of Light: What are Photons? VI, 957010 (10 September 2015); doi: 10.1117/12.2188288
Show Author Affiliations
Martin B. van der Mark, Philips Research Europe (Netherlands)

Published in SPIE Proceedings Vol. 9570:
The Nature of Light: What are Photons? VI
Chandrasekhar Roychoudhuri; Al F. Kracklauer; Hans De Raedt, Editor(s)

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