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Hertz vectors and the electromagnetic-quantum equations. (English) Zbl 1211.78002

The author derives new forms of quantum electrodynamics equations by expressing electromagnetic potentials in terms of a Hertz vector. Thus obtained Schroödinger-Hertz, Pauli-Hertz, Dirac-Hertz and Klein-Gordon-Hertz equations are integro-differential and they are considered more suitable for analysis and computational treatments.

MSC:

78A02 Foundations in optics and electromagnetic theory
81V10 Electromagnetic interaction; quantum electrodynamics
35Q60 PDEs in connection with optics and electromagnetic theory
35Q40 PDEs in connection with quantum mechanics
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