On the collision dynamics in a molecular model

Abstract

We study the problem of the hydrogen atom submitted to a circularly polarized microwave field. This problem, analysed from a classical mechanics approach, can be modeled by an autonomous Hamiltonian depending on one parameter. The paper is focused on the so called -ejection-collision orbits (-EC orbits), that is orbits that describes the electron when it ejects from the nucleus and collides with it at the relative minimum in the distance with respect to the nucleus. In this work, we analyze the evolution of the families of -EC orbits. We conduct a comprehensive numerical analysis of the bifurcations, which involves multiple precision computations, to characterize the successive bifurcation families that emerge. Additionally, we examine the periodic and quasi-periodic motion of the -EC orbits belonging to these bifurcation families