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The binding energy of a H atom, conside...

The binding energy of a H atom, considering an electron moving around a fixed nuclei (proton), is
`B=(me^4)/(8n^2in_0^2h^2) (m="mass of electron")`
if one decides to work in a frame of refrence where the electron is at rest , the proton would be moving around it. By similar arguments , the binding energy would be
`B=(Me^4)/(8n^2in_0^2h^2) (M="mass of proton")`
This last expression is not correct because

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