Actually the Dirac equation isn't so necessary for the case under discussion. The non-relativistic Schrödinger equation with a time dependent potential term ought to be fine enough.
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Originally Posted by Little Bang
they do not describe the actual event.
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True, it would be very complicated to discuss the exact details of this type of thing, although not inconceivable. It would require a lot of numerical calculation. It isn't difficult to qualitatively describe transitions between energy eigenstates, for the fixed Coulomb potential, as discussed in, for example, the
Eisberg Resnick textbook. This is simple compared with actually integrating the differential equation.
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Inutil insegnà al mus, si piart timp, in plui si infastidìs la bestie.
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