  In this paper, we have firstly presented a new quantum theory to study
one-dimensional photonic crystals. We give the quantum transform matrix,
quantum dispersion relation and quantum transmissivity, and compare them with
the classical dispersion relation and classical transmissivity. By the
calculation, we find the classical and quantum dispersion relation and
transmissivity are identical. The new approach can be studied two-dimensional
and three-dimensional photonic crystals.
