Abstract
The integrals of motion are constructed for the Sutherland hyperbolic quantum systems of particles with internal degrees of freedom (su(n) spins) interacting with an external field with the Morse potential of an arbitrary strength τ2. These systems are confined if some constraint is imposed on τ, the strength λ of the pairwise interaction and the number of particles. The ground state is described by the wave function of the Jastrow form.
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