THE HARMONIC FLOQUET OSCILLATOR

The harmonic oscillator interacting with a monochromatic electromagnet ic held is one of the few soluble models in the application of Floquet theory. After recalling the form of the Floquet wave functions and ei genenergies we show how they can be derived as a limiting case of the solution for two oscillators with a bilinear coupling. We also derive a solution in the acceleration frame and examine the high-frequency re gime. Finally, the model offers an opportunity to test the performance s of a coupled-channel formulation of Floquet theory.