Young S. Kim pp. We present a quantization procedure for the electromagnetic field in a circular cylindrical cavity. A complete set of vector mode functions satisfying the boundary conditions is obtained utilizing field decomposition. The quantized electromagnetic Hamiltonian is then derived. The conditions for enhancement and inhibition of the spontaneous emission rate per second by an atom inside the cavities are presented in the electric-dipole approximation.
Emission is inhibited completely if the cavities are very small.
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