That's what you would measure. But it is hard to imagine a free hydrogen atom being anisotropic...
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but if you dont know “what axis” the azimuthal angle is measured from your 2p orbital would be in a mixed state which is spherically symmetric, youd need a state preparation or external field which picks the basis for the l=1 harmonics to be in a pure state?
it has nothing to do with knowing .. the conversation is about pure states and quantum uncertainty , not classical uncertainty .. we say we prepare the atom in a particular state (n,l,m) .. is it spherically symmetric
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sure if THATS your question then its clearly not, but i think all the confusion in this branch of the thread was about real world examples and how classical uncertainty may apply when youre not preparing a specific (n,l,m) state, and then diff questions were getting conflated
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the definition of an energy eigenstate is pretty clear cut ..
End of conversation
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