Abstract
We investigate a two-level atom Jaynes-Cummings model and its dynamics for a nano-optical system. The optical system is assumed to be a hollow cylindrical waveguide with a circular cross section. Since the system is assumed to have nanoscale dimensions, the interaction process is strictly affected only by a single waveguide mode. The atom mode coupling and the probability amplitudes are evaluated for different waveguide parameters as functions of the mode frequency.