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Matter Modeling

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  • $\begingroup$ You mean like "2 interacting photons", rather than the particles you mentioned so far (electrons and protons)? $\endgroup$ Commented May 20, 2022 at 15:39
  • $\begingroup$ How about the Hubbard chain? $\endgroup$ Commented May 20, 2022 at 19:02
  • $\begingroup$ @NikeDattani Is it this one ? I just googled "2 interacting photons" and reading. I didn't want to specify them to be necessarily photons or particles of matter. Just artificial point particles moving in space, like in toy problems in quantum mechanics courses. I am curious if anyone found a system that by chance happens to be analytically solvable for any n interacting particles? $\endgroup$ Commented May 21, 2022 at 3:03
  • 2
    $\begingroup$ What about Hooke's atom? It's a 3D system of 2 fully-interacting electrons, which is exactly solvable. $\endgroup$ Commented Aug 5, 2022 at 22:45
  • 1
    $\begingroup$ I don't think so, and it's only soluble analytically for certain "magic" values of the interaction strength, but it's still a nice playground for multi-electron physics. $\endgroup$ Commented Aug 6, 2022 at 1:24