Abstract
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 τ2. These systems are confined if certain constraints are imposed on τ, the pair coupling constant λ, and the number of particles. The ground state is described by a wave function of the Jastrow form.
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Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 164, No. 3, pp. 419–425, September, 2010.
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Sadovnikov, B.I., Inozemtseva, N.G. & Inozemtsev, V.I. A special set of eigenvectors for the hyperbolic Sutherland systems. Theor Math Phys 164, 1184–1189 (2010). https://doi.org/10.1007/s11232-010-0098-z
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DOI: https://doi.org/10.1007/s11232-010-0098-z