Journal of Scientific Computing

, Volume 39, Issue 1, pp 1-27

First online:

Subharmonic Resonance Behavior for the Classical Hydrogen Atomic System

  • Daniel C. ColeAffiliated withDept. of Manufacturing Engineering, Boston University Email author 
  • , Yi ZouAffiliated withOne AMD Place

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Previously unexplored resonance conditions are shown to exist for the classical hydrogen atomic system, where the electron is treated as a classical charged point particle following the nonrelativistic Lorentz-Dirac equation of motion about a stationary nucleus of opposite charge. For circularly polarized (CP) light directed normal to the orbit, very pronounced subharmonic resonance behavior is shown to occur with a variety of interesting properties. In particular, only if the amplitude of the CP light exceeds a critical value, will the resonance continue without radius and energy decay. A perturbation analysis is carried out to illustrate the main features of the behavior. The present phenomena adds to a growing list of other nonlinear dynamical behaviors of this simple system, that may well be important for more deeply understanding classical and quantum connections.


Hydrogen Rydberg Stochastic Electrodynamics Simulation Classical Nonlinear