This article sketches a way of describing the quantum electromagnetic field in smooth D-dimensional space, without addressing the technical problems caused by trying to associate operators with individual points in continuous space. In the quantum model, the components of the electric and magnetic fields are operators on a Hilbert space, and they don't all commute with each other. This article uses the electric and magnetic field operators to construct operators that create photons. The relationship between photon polarizations and angular momenta in D-dimensional space is explored.
