To describe this properly you need to have
the dirac equation
Dirac equation - Wikipedia, the free encyclopedia
and the free maxwell equations
Maxwell's equations - Wikipedia, the free encyclopedia
sorry I dont know how to write equations in this editor havent figured it out yet
In 1928 when dirac put his equation forward the only particles known to science were the electron proton and photon.
The free maxwell equations describe the photon which in 1927 Jordan and Pauli provided an overall scheme for describing free photons according to a quantized free field maxwell theory.
Dirac's equation seemed to describe both electron and photon.
The EM interaction describing how electrons and protons are influenced by photons was handled by diracs gauge idea
Quantum field theory - Wikipedia, the free encyclopedia
If dirac style protons and electrons interacting merely electromagnetically were the only constiuents of atoms then atoms would immediately disintegrate.
In 1932 Chadwick discoverd the neutron and it was realised there must be a strong force binding neutrons and protons together
Radioactivity was desribed in another interaction the weak force.
Many other particles have been added since then
positron neutrino muons pions kaons lambda and sigma particles
omega minus particle antiparticles quarks gluons and W and Z bosons.
The modern theory also demands transient entities called virtual pair particles to exist..
So the Standard Model is as you can see far from elegant.
As for your question on desribing the production of infrared waves from the electron this comes under QED and would involve feynmann diagrams , I have no idea how to display feynmann diagrams on this thing so I will pass it over to someone who does.
Adios
True Beleivers
