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The binding energy of a H-atom consid...

The binding energy of a H-atom considering an electron moving around a fixed nuclei (proton), is
`B = - (me^(4))/(8n^(2)epsi_(0)^(2)h^(2))` (m= electron mass)
If one decides to work in a frame of refrence where the electron is at rest, the proton would be movig around it. By similar arguments, the binding energy would be :
`B = - (me^(4))/(8n^(2)epsi_(0)^(2)h^(2))` (M = proton mass)
This last expression is not correct, because

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