When electrons stabilize on atoms' orbitals, unreleasable adiabatic energy is induced in excess of the invariant energy corresponding to their rest mass. For example, an unreleasable amount of 27.2 eV is induced at the hydrogen atom rest orbital in excess of the energy corresponding to the rest mass of the electron, which is an energy not necessarily associated to a velocity, meaning that no momentum may be involved if the electron finds itself translationally immobilized, even if this energy in excess of the rest mass energy remains induced.
I did some research and found this ref. by James Montaldi 2014 (First ref. below).
In the Montaldi paper, the following topics are addressed:
Section 3.1 Zero momentum, non-zero velocity.
Section 3.2 Zero momentum, zero velocity.
Section Zero momentum, zero velocity was the one that should have covered the case, except that it assumes that ξ=0, which, unless I do not understand correctly, does not cover the case of the adiabatic energy induced in orbitals EM equilibrium states.
This makes me observe that the Hamiltonian as formulated, seems to deal only with translational momentum, and doesn't seem to be able to represent zero momentum zero velocity with energy>0, or am I missing something?
I would like input on how this case is being addressed from the electromagnetism perspective.
Adiabatic energy induction is analyzed in the second ref.
https://arxiv.org/pdf/1311.2247.pdf
https://www.omicsonline.com/open-access/on-adiabatic-processes-at-the-elementary-particle-level-2090-0902-1000177.pdf
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