The dressed states of an electron in a one-dimensional two

We study, in the framework of the high-frequency Floquet theory, the one-dimensional system consisting of an electron interacting with a symmetric two δ-functions potential in the presence of an intense monochromatic homogeneous electric field. Most of the results concern the attractive case. They include the dependence of the bound states energies of the dressed potential and of some of its resonances positions on the electric field parameter $\alpha_0$ (the classical free electron quiver motion amplitude) and on the distance between the two centers and the description of the evolution from resonances to laser induced levels via two antibound states. The repulsive case is described briefly