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https://www.physicsforums.com/threa...ctrons-drop-energy-levels.445985/post-2976248

Indeed - for eg Balmer Alpha transition in Hydrogen:

## ΔE = hΔf = μc^2\left(\sqrt{1-{\left(\frac{α}{3}\right)}^2}-\sqrt{1-{\left(\frac{α}{2}\right)}^2}\right)=3.0259670 E-19 J##

I interpret this as pretty much a direct subtraction of electron's 'wave energy' in level 2 from same in level 3 (higher).

Indeed - for eg Balmer Alpha transition in Hydrogen:

## ΔE = hΔf = μc^2\left(\sqrt{1-{\left(\frac{α}{3}\right)}^2}-\sqrt{1-{\left(\frac{α}{2}\right)}^2}\right)=3.0259670 E-19 J##

I interpret this as pretty much a direct subtraction of electron's 'wave energy' in level 2 from same in level 3 (higher).