Quadrupole-coupled orbital resonances in the cornell electron-ring experiment

Coupling of orbital resonances by a quadrupole field is shown to be a mechanism consistent with the anomalous losses of electrons, both sudden and steady state, seen in an experiment by Luckhardt and Fleischmann in the RECE-Berta (relativistic-electron coil experiment) device. The effect is shown using both analytical (nonlinear Hamiltonian mechanics) and numerical (orbit code) techniques.