  We present a theory of quantized radiation fields described in terms of
q-deformed harmonic oscillators. The creation and annihilation operators
satisfy deformed commutation relations and the Fock space of states is
constructed in this formalism in terms of basic numbers familiar from the
theory of quantum groups. Expressions for the Hamiltonian and momentum arising
from deformed Heisenberg relations are obtained and their consequences
investigated. The energy momentum properties of the vacuum state are studied.
The commutation relation for the fields is shown to involve polarization sums
more intricate than those encountered in standard quantum electrodynamics, thus
requiring explicit representations of polarization vectors. The electric field
commutation rules are investigated under simplifying assumptions of
polarization states, and the commutator in the deformed theory in this case is
shown to be reminiscent of the coordinate-momentum uncertainty relation in the
theory of q-deformed quantum oscillators.
