Subharmonic resonance and critical eccentricity for the classical hydrogen atomic system
Cole, Daniel C.
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Citation (published version)D Cole. "Subharmonic resonance and critical eccentricity for the classical hydrogen atomic system." European Physical Journal D,
Subharmonic resonance behaviors are investigated for the classical hy- drogen atom, with classical radiation damping and circularly polarized light acting on the classical electron. This study is intended for both potential experimental applications as well as for deeper theoretical pur- poses. Long resonant states are predicted for realistic Rydberg atoms and highly excited hydrogen states. Several previously undiscovered physical e¤ects are predicted. First, the semimajor axis remains relatively con- stant when in subharmonic resonance; second, the eccentricity steadily increases until a maximum, critical value is reached, at which point or- bital decay sets in. If the initial orbit is circular, this critical eccentricity value is shown to always be the same for each subharmonic condition, regardless of the initial orbital radius. An analytic derivation for this re- sult is presented. The illustrated dynamics are of interest for the classical theory of stochastic electrodynamics (SED) regarding whether SED can fundamentally describe more of quantum phenomena, particularly atomic excited state behavior and related emission and absorption spectra. Also of interest are how classical resonances can be imposed on a near con- tinuum of quantum states. Finally, there may be future technological applications, such as reading and writing information into Rydberg atoms in the form of subharmonic resonances.