i think it's time to re-indoctrinate the youthpic.twitter.com/tdi0bFAYOA
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what do you mean "actual"? Hydrogen can certainly be in an energy eigenstate .. the energy quantum number doesn't depend on azimuthal quantum numbers, but the angular momentum observables do
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I think this may have been the source of confusion all along? A wavefunction in the |n,l,m> basis should not have *azimuthal* dependence (polar is OK), yet yours has both. So it has to be a superposition (I think it’s |7,6,4> + |7,6,-4>).
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There’s nothing wrong with an eigenstate having azimuthal and polar dependence
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