I'm thinking about this through the lens of the $n$-body problem in classical mechanics, which was of course proven to be non-analytic for $n\ge3$ by Poincare. Does this same proof extend to a quantum mechanical $n$-body problem, or is there some way to write the hamiltonian that allows us to find an analytic solution for a particular $n>2$?
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Qmechanic
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Maarten de Haan
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1You're right, there is no general closed-form solution for the n-body atom Hamiltonian for n > 1 - see here and links within – Nihar Karve Oct 30 '20 at 08:45
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1Possible duplicates: https://physics.stackexchange.com/q/427663/2451 and links therein. – Qmechanic Oct 30 '20 at 09:08
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Thank you! @NiharKarve – Maarten de Haan Oct 30 '20 at 22:28