In the absence of an external magnetic field, a transition frequency ν0 is observed between two energy levels of an atom. Show that in the presence of an external uniform magnetic field, the normal Zeeman effect is observed and the original transition generates into three transitions of frequencies: ν = ν0 − eB 4πm ; ν = ν0; ν = ν0 + eB 4πm where m is the mass of the electron.
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