Scalar Potentials for Vector Fields and an Application to Quantum Electrodynamics

Müller, Eberhard E. (1985) Scalar Potentials for Vector Fields and an Application to Quantum Electrodynamics. (Preprint)

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Abstract

For an arbitrary vector field F: xϵR^3 ↦ F(x)ϵR^3, the representation F = ∇Φ + L_ψ + ∇˰L_χ is proved where Φ, ψ, χ are scalar potentials. Using this decomposition in the Maxwell equations disentangles the longitudinal and transversal degrees of freedom of the electromagnetic field. As a result the electromagnetic field can be quantized restriction free.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 10 Jul 2018 14:59
Last Modified: 20 Dec 2022 09:02
URI: https://dair.dias.ie/id/eprint/927

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