Take a 600-cell in 4D with 120 vertices ±v_i, i=1…60
Define F(x)=𝚷_i v_i·x
Stereographically project F from a 4-sphere to 3D, then Fourier-transform from momentum space to position space.
Result: this hydrogen wave function, with energy level n=61.
More at:
https://www.gregegan.net/SCIENCE/SymmetricWaves/SymmetricWaves.html
Greg Egan /
npub1qq…j5nhv
2023-10-08 05:46:55
Author Public Key
npub1qqm7nu2qf25xd3mw6y6cyp4v2wr7ktf43ymp5wqz4u8jvz76ymtsjj5nhvPublished at
2023-10-08 05:46:55Event JSON
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"content": "Take a 600-cell in 4D with 120 vertices ±v_i, i=1…60\n\nDefine F(x)=𝚷_i v_i·x\n\nStereographically project F from a 4-sphere to 3D, then Fourier-transform from momentum space to position space.\n\nResult: this hydrogen wave function, with energy level n=61.\n\nMore at:\n\nhttps://www.gregegan.net/SCIENCE/SymmetricWaves/SymmetricWaves.html\n\nhttps://media.mathstodon.xyz/media_attachments/files/111/197/803/320/661/908/original/544ecb5078253e2d.mp4",
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