# 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.
4 Citations
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## 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
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."
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