Rydberg stabilization of atoms in strong fields: the “magic mountain” in the chaotic sea

We discuss the classical problem of an hydrogen atom interacting with a monochromatic field. We illustrate in particular, analytically and numerically, the stabilization mechanism and give theoretical expressions for the stabilization borders.     

A brief outline of the scientific debate which preceded the works of Castigliano

Meccanica - Castigliano put an end to a long and fierce scientific diatribe which lasted nearly a century, from Euler's 1773 memoir ≪De pressione ponderis≫ to Dorna's and...     

A quantum transition from localized to extended states in a classically chaotic system

We study the quantum dynamics of a particle in a one dimensional triangular well under a monochromatic perturbation. Though the classical dynamics is described by the Standard Map, the quantum motion is not always localized. At a certain threshold field intensity, a transition takes place, from a, regime of power-localized quasi-energy eigenstates to one of extended states.