In recent work, the formation of ring-shaped electron distributions for hydrogen atoms in resonant static magnetic-laser fields has exclusively been associated with the impact of relativity. In this note we will generalize this statement and show that the nonlinearity associated with the nuclear binding force can trigger similarly shaped steady-state charge clouds in atoms under suitable conditions. The dephasing model, based on modeling the quantum-mechanical state by a classical ensemble of quasiparticles evolving with slightly different cyclotron periods, can recover features, in the two lowest-order resonances as well as the Coulomb-field-induced charge distributions.
Wagner, R E.; Radovich, S; Gillespie, J; Su, Q; and Grobe, Rainer, "Dephasing model for spatially extended atomic states in cyclotronlike resonances" (2002). Faculty publications – Physics. Paper 30.