A special set of eigenvectors for the hyperbolic Sutherland systems |
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| Authors: | B I Sadovnikov N G Inozemtseva V I Inozemtsev |
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| Institution: | 1.Lomonosov Moscow State University,Moscow,Russia;2.Dubna International University of Nature, Society, and Humanity,Dubna, Moscow Oblast,Russia;3.Joint Institute for Nuclear Research,Dubna, Moscow Oblast,Russia |
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| 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 τ
2
. 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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