Periodically driven dynamics of a particle moving in the field of Coulomb plus confining potential

TL;DR

This paper analyzes how a particle's motion in Coulomb plus confining potentials becomes chaotic under periodic driving, providing analytical estimates for chaos onset and phase-space behavior in 1D and 3D.

Contribution

It offers an analytical determination of the critical external field strength for chaos onset using resonance overlap, and explores phase-space dynamics in both one and three dimensions.

Findings

Critical field strength for chaos is analytically estimated.

Phase-space analysis reveals the structure of particle trajectories.

Resonance overlap criterion effectively predicts chaotization.

Abstract

Periodically driven dynamics of a particle moving in the field Coulomb plus confining potential is treated for one and three dimensional cases. Critical value of the external field strength at which chaotization will occur is evaluated analytically based on the resonance overlap criterion. The analysis of the phase-space dynamics is presented.