Three-body generalization of the Sutherland model with internal degrees of freedom

@article{Quesne1996ThreebodyGO,
  title={Three-body generalization of the Sutherland model with internal degrees of freedom},
  author={C. Quesne},
  journal={EPL},
  year={1996},
  volume={35},
  pages={407-412}
}
  • C. Quesne
  • Published 4 July 1996
  • Mathematics, Physics
  • EPL
A generalized spin Sutherland model including a three-body potential is proposed. The problem is analyzed in terms of three first-order differential-difference operators, obtained by combining SUSYQM supercharges with the elements of the dihedral group D6. Three alternative commuting operators are also introduced. 
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A bstractCalogero-Sutherland models of N identical particles on a circle are deformed away from hermiticity but retaining a PT$$ \mathcal{P}\mathcal{T} $$ symmetry. The interaction potential gets

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