Inequivalent quantizations of the three-particle Calogero model constructed by separation of variables

@article{Fehr2005InequivalentQO,
  title={Inequivalent quantizations of the three-particle Calogero model constructed by separation of variables},
  author={L. Feh{\'e}r and I. Tsutsui and T. Fulop},
  journal={Nuclear Physics},
  year={2005},
  volume={715},
  pages={713-757}
}
Abstract We quantize the 1-dimensional 3-body problem with harmonic and inverse square pair potential by separating the Schrodinger equation following the classic work of Calogero, but allowing all possible self-adjoint boundary conditions for the angular and radial Hamiltonians. The inverse square coupling constant is taken to be g = 2 ν ( ν − 1 ) with 1 2 ν 3 2 and then the angular Hamiltonian is shown to admit a 2-parameter family of inequivalent quantizations compatible with the dihedral D… Expand

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