Uncertainty relations for light waves and the concept of photons

Abstract
A Lorentz-covariant localization for light waves is presented. The unitary representation for the electromagnetic four-potential is constructed for a monochromatic light wave. A model for covariant superposition is constructed for light waves with different frequencies. It is therefore possible to construct a wave function for light waves carrying a covariant probability interpretation. It is shown that the time-energy uncertainty relation (Δt)(Δω)≃1 for light waves is a Lorentz-invariant relation. The connection between photons and localized light waves is examined critically.