Related Experiment Video
Updated: Aug 14, 2026

Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems
Published on: April 28, 2016
Resonant phenomena in classical dynamics of three-body Coulomb systems
1Space Research Institute, Russian Academy of Sciences, Profsoyuznaya Street 84/32, 117997 Moscow, Russia. alx_it@yahoo.com
Abstract:
We consider dynamics of a planar three-body Coulomb system similar to a hydrogen molecular ion (heavy-light-heavy particles). The system has three degrees of freedom. In the limit of infinitely heavy nuclei the system is reduced to the famous two-center problem which is integrable. When masses of heavy particles are finite, one degree of freedom in the Hamiltonian system corresponds to slow nuclei motion, while other two degrees of freedom correspond to fast electron motion. The averaging method predicts that actions of "fast" motions of the system with frozen nuclei are approximate integrals of the full system (adiabatic invariants). However, during slow evolution of the "heavy" subsystem certain resonance conditions can be satisfied. We study the phenomena of capture into resonances and scattering on resonances which can lead to destruction of adiabatic invariance in the system.
Related Concept Videos
The de Broglie Wavelength
Resonance and Hybrid Structures
Resonance Structures and Resonance Hybrids
The Lewis structure of a nitrite anion (NO2−) may actually be drawn in two different ways, distinguished by the locations of the N–O and N=O bonds.
Concept of Resonance and its Characteristics
Sound Waves: Resonance
Coulomb's Law and The Principle of Superposition
The Principle of Superposition answers the question. Yes, Coulomb's Law applies to each pair of charges, and the net force on each charge is the vector sum of the...
Resonance in an AC Circuit

