Reducible Quantum Electrodynamics. I. The Quantum Dimension of the Electromagnetic Field
Quantum Physics
2017-05-05 v2
Abstract
In absence of currents and charges the quantized electromagnetic field can be described by wave functions which for each individual wave vector are normalized to one. The resulting formalism involves reducible representations of the Canonical Commutation Relations. The corresponding paradigm is a space-time filled with two-dimensional quantum harmonic oscillators. Mathematically, this is equivalent with two additional dimensions penetrated by the electromagnetic waves.
Keywords
Cite
@article{arxiv.1506.00098,
title = {Reducible Quantum Electrodynamics. I. The Quantum Dimension of the Electromagnetic Field},
author = {Jan Naudts},
journal= {arXiv preprint arXiv:1506.00098},
year = {2017}
}
Comments
14 pages A4, wide column, no figures; wrong statement in Section 1.5 removed; definition of energy density added; small changes in notations