# 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} }

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.

## 4 Citations

Three-Body Generalizations of the Sutherland Problem

- Physics, Mathematics
- 2000

The three-particle Hamiltonian obtained by replacing the two-body trigonometric potential of the Sutherland problem by a three-body one of a similar form is shown to be exactly solvable. When written…

Integrable three-body problems with two- and three-body interactions

- Mathematics
- 1997

Spin generalizations of both the elliptic Calogero - Marchioro - Wolfes model and the nonlinear Schrodinger model are studied. These models are three-body problems with two- and three-body…

M ay 2 01 9 PT deformation of Calogero – Sutherland models

- 2019

Calogero–Sutherland models of N identical particles on a circle are deformed away from hermiticity but retaining a PT symmetry. The interaction potential gets completely regularized, which adds to…

PT$$ \mathcal{P}\mathcal{T} $$ deformation of Calogero-Sutherland models

- Physics, MathematicsJournal of High Energy Physics
- 2019

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…

## References

SHOWING 1-10 OF 23 REFERENCES

Elliptic Dunkl operators, root systems, and functional equations

- Mathematics, Physics
- 1994

We consider generalizations of Dunkl's differential-difference operators associated with groups generated by reflections. The commutativity condition is equivalent to certain functional equations.…

A free energy bound for the Hopfield model

- Mathematics
- 1993

The author gives a simple upper and lower bound on the free energy density of the Hopfield model of size N with p stored patterns, in the limit where N and p tend to infinity with p/N to alpha <1.…

"J."

- 1890

however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)…

J. Phys. A

- J. Phys. A
- 1995

J. Phys. A

- J. Phys. A
- 1993

Phys

- Rev. B 46 (1992) 9359; K. Hikami and M. Wadati, Phys. Lett. A 173 (1993) 263; J. A. Minahan and A. P. Polychronakos, Phys. Lett. B 302
- 1993

Phys

- Rev. Lett. 69
- 1992

Phys. Rev. B Phys. Lett. A J. A. Minahan and A. P. Polychronakos, Phys. Lett. B

- Phys. Rev. B Phys. Lett. A J. A. Minahan and A. P. Polychronakos, Phys. Lett. B
- 1992

Phys. Rev. Lett

- Phys. Rev. Lett
- 1992

Trans. Am. Math. Soc

- Trans. Am. Math. Soc
- 1989