Geodesic
A special set of eigenvectors for the hyperbolic Sutherland systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 3, pp. 419-425 Cet article a éte moissonné depuis la source Math-Net.Ru

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We construct the integrals of motion for Sutherland hyperbolic quantum systems of particles with internal degrees of freedom ($su(n)$ spins) interacting with an external field of the Morse potential of an arbitrary strength $\tau^2$. These systems are confined if certain constraints are imposed on $\tau$, the pair coupling constant $\lambda$, and the number of particles. The ground state is described by a wave function of the Jastrow form.
Keywords: spin system, Morse potential, spinless Sutherland system, integrability. 
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     title = {A~special set of eigenvectors for the~hyperbolic {Sutherland} systems},
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B. I. Sadovnikov; N. G. Inozemtseva; V. I. Inozemtsev. A special set of eigenvectors for the hyperbolic Sutherland systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 3, pp. 419-425. http://geodesic.mathdoc.fr/item/TMF_2010_164_3_a10/

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