Not upset at all... But without external field, why would the proton and the electron align in a particular direction?
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Replying to @freddy_x @wood_croft
because energy eigenstates have trivial time evolution .. if you prepare the state in some Ψnlm , then you are simply just more likely to find it in certain places than another, that's like the whole thing .. and you don't even need very exotic states to acheive this at all
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Replying to @InertialObservr @wood_croft
The overwhelming majority of the hydrogen atoms in the universe have not been prepared and are spherically symmetric. No?
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that's just the statement that the ground state is spherically symmetric
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Replying to @InertialObservr @freddy_x
The other energy states are spherically symmetric too.
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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?
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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 ..
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