Three-body problem in 3D space: ground state, (quasi)-exact-solvability

@article{Turbiner2016ThreebodyPI,
  title={Three-body problem in 3D space: ground state, (quasi)-exact-solvability},
  author={Alexander V. Turbiner and Willard Miller and Adrian M. Escobar-Ruiz},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2016},
  volume={50}
}
We study aspects of the quantum and classical dynamics of a 3-body system in 3D space with interaction depending only on mutual distances. The study is restricted to solutions in the space of relative motion which are functions of mutual distances only. It is shown that the ground state (and some other states) in the quantum case and the planar trajectories in the classical case are of this type. The quantum (and classical) system for which these states are eigenstates is found and its… 

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