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

Martin B. van der Mark

doi:10.1117/12.2188288

10 September 2015 Quantum mechanical probability current as electromagnetic 4-current from topological EM fields

Martin B. van der Mark

Proceedings Volume 9570, The Nature of Light: What are Photons? VI; 957010 (2015) https://doi.org/10.1117/12.2188288
Event: SPIE Optical Engineering + Applications, 2015, San Diego, California, United States

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 Cl_1,3 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.

Citation Download Citation

Martin B. van der Mark "Quantum mechanical probability current as electromagnetic 4-current from topological EM fields", Proc. SPIE 9570, The Nature of Light: What are Photons? VI, 957010 (10 September 2015); https://doi.org/10.1117/12.2188288

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