Representation of the vacuum electromagnetic field in terms of longitudinal and time-like potentials: canonical quantization

摘要

It is shown that the electromagnetic field in the vacuum can be represented by two scalar potential differences F and G. These are magnitudes of vectors f and g directed in the axis of propagation. Electromagnetic fields are derivable from F and G, which are governed by massless Klein-Gordon equations. Canonical quantization of this equation gives an ensemble of massless bosons (photons) without any of the Difficulties associated with canonical quantization of the four potential. An experiment is suggested for the Detection of longitudinal and time-like potentials of this type.