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Atomic physics is the field of physics that studies atoms as an isolated system of electrons and an atomic nucleus. It is primarily concerned with the arrangement of electrons around the nucleus and the processes by which these arrangements change. This includes ions as well as neutral atoms and, unless otherwise stated, for the purposes of this discussion it should be assumed that the term atom includes ions.

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Why can't one calculate the energy of the one electron Uranium ion state with the Dirac equa...

In the link, Solving Dirac for one electron atom/ion the energy for the one electron $s_1$ shell is calculated as $$ E=m_{\mu}c^2\left( 1 - \frac{1}{\sqrt{1+\left( \frac{\alpha Z}{n-j-1/2 + \sqrt{(j+1 …
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Why did the Bohr Model Successfully calculate some of the energy levels in hydrogen?

I want to highlight Fredric Thomas comment above about the correspondence principle. We can write a solution to the Schrödinger equation like, $$ \Psi = (A(t,x) + \hbar B(t,x) + ...)\exp(i S(t,x)/\hb …
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Why did the Bohr Model Successfully calculate some of the energy levels in hydrogen?

Take QED, consider the spherical symmetric solutions for hydrogen, Add a condition that the mass,charge is zero for $r<r_0$. and at $r_0$, all mass,charge. Let the Photon be a standing wave. Assume pr …
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23 votes
9 answers
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Why did the Bohr Model Successfully calculate some of the energy levels in hydrogen?

The Bohr model is incomplete and has drawbacks. But one thing is a mystery to me. Why did it so successfully calculate the Rydberg series with quite good number of correct digits? Having such a good …
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