English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We studied the orbit of an electron revolving around an infinitely massivenucleus of a large classical Hydrogen atom subject to an AC electric fieldoscillating perpendicular to the electron's circular orbit. Using perturbationtheory in geometric algebra, we show that the equation of motion of theelectron perpendicular to the unperturbed orbital plane satisfies a forcedsimple harmonic oscillator equation found in Lorentz dispersion law in Optics.We show that even though we did not introduce a damping term, the initialorbital position and velocity of the electron results to a solution whoseabsorbed energies are finite at the dominant resonant frequency$\omega=\omega_0$; the electron slowly increases its amplitude of oscillationuntil it becomes ionized. We computed the average power absorbed by theelectron both at the perturbing frequency and at the electron's orbitalfrequency. We graphed the trace of the angular momentum vector at differentfrequencies. We showed that at different perturbing frequencies, the angularmomentum vector traces epicyclical patterns.

Lorentz Dispersion Law from classical Hydrogen electron orbits in AC electric field via geometric algebra