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Not a purely mathematical question:

I have read somewhere that Atomic Orbital is closely related to the distribution of prime numbers, but I am unable to find any reference to that.

Can someone please explain this relation (if it even exists)?

Also, what other physical reflections of prime-number distribution are known?

Thanks

barak manos
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1 Answers1

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Here is a site devoted to such: surprising connections between number theory and physics

mvw
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  • No problem. Enjoy. – mvw Jun 24 '14 at 13:56
  • It seems I have to add, that to my knowledge prime numbers are no central concept in physics right now. However, as physics uses mathematics heavily, even primes and related mathematics shows up and that link features such connections. This is amazing, there might have been no such thing, but one should not overrate these results. – mvw Mar 29 '16 at 14:01
  • I didn't know any of this concrete examples. I've been playing with prime number orbits in space trying to find autocorrelation in some versions of them. I found that using 48 symmetries of the same curve, labeling the natural numbers acording to their relative order and , adding an extra label to primes you get an atom-like structure for elliptical growing orbits: https://www.youtube.com/watch?v=qU06_hx1Sgc – fbatrouni Aug 01 '24 at 15:12