Direct-interaction electrodynamics of a two-electron atom
| dc.creator | De Luca, Jayme | |
| dc.date | 2000-03-12 | |
| dc.date.accessioned | 2026-07-07T05:32:44Z | |
| dc.date.available | 2026-07-07T05:32:44Z | |
| dc.description | We study numerically the dynamical system of a two-electron atom with the Darwin interaction as a model to investigate scale-dependent effects of the relativistic action-at-a-distance electrodynamics. This dynamical system consists of a small perturbation of the Coulomb dynamics for energies in the atomic range. The key properties of the Coulomb dynamics are: (i) a peculiar mixed-type phase space with sparse families of stable non-ionizing orbits and (ii) scale-invariance symmetry, with all orbits defined by an arbitrary scale parameter. The combination of this peculiar chaotic dynamics ((i) and (ii)), with the scale-dependent relativistic corrections (Darwin interaction) generates the phenomenon of scale-dependent stability: We find numerical evidence that stable non-ionizing orbits can exist only for a discrete set of resonant energies. The Fourier transform of these non-ionizing orbits is a set of sharp frequencies. The energies and sharp frequencies of the non-ionizing orbits we study are in the quantum atomic range. | |
| dc.description | contains six figures | |
| dc.identifier | https://arxiv.org/abs/nlin/0003031 | |
| dc.identifier | http://arxiv.org/abs/nlin/0003031 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79761 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Direct-interaction electrodynamics of a two-electron atom | |
| dc.type | text |