Hydrogen atom cross-sections •The probability distribution |Ψ|² of the electron's location is represented as a thermal map (Atom is in the (5,4,2) state)pic.twitter.com/qZDzwUR7gc
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My question was more like, is there a quantization effect that sets the probability field in a given shape, or are the eigenstates just an orthogonal decomposition basis
The latter. They form an orthonormal basis for the Hilbert space. Any given mode need not be spherically symmetric
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Of course but there is also an experimental evidence of the state and is not a pure mathematical building.
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