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In the above equation for Dirac energy, is it trivial to note that given:
Principal quantum number n
Orbital angular momentum quantum number l(max) = n - 1
Total angular momentum quantum number j = l + 1/2 = n - 1/2
Then nr = n - j - 1/2 = n - (n - 1/2) - 1/2 = 0 and the energy expression simplifies considerably to:
## E=mc^2 \sqrt{1-{\left(\frac{Z\alpha}{n}\right)}^2} ##
- an expression in which only the principal quantum number is in evidence ?
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