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On the integrals of motion for an exactly solvable model of interacting fermions

V.I. Inozemtsev$^1$, N.G. Inozemtseva$^2$, B.I. Sadovnikov$^2$

Moscow University Physics Bulletin 2008. 63. N 2. P. 83

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Annotation

Based on the Lax formalism, integrals of motion are constructed for the Sutherland hyperbolic systems of particles with internal degrees of freedom (su(n) spins) situated in an external field with the Morse potential characterized by the parameter τ2. It is shown that the corresponding infinite-dimensional algebra determining the hidden symmetry of the systems is not of the Yangian type.

Authors
V.I. Inozemtsev$^1$, N.G. Inozemtseva$^2$, B.I. Sadovnikov$^2$
$^1$Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980, Russia
$^2$Department of Quantum Statistics and Field Theory, Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
Issue 2, 2008

Moscow University Physics Bulletin

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