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Regular Article

On the wave functions of an exactly solvable model of interacting fermions with spin 1/2 in an external field

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

Moscow University Physics Bulletin 2008. 63. N 3. P. 164

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Annotation

It is shown that hyperbolic systems of Sutherland spin 1/2 particles in an external field with the Morse potential characterized by parameter $\tau^2$ have a discrete part of their spectrum in the case of a particular constraint on the $\tau$, parameter of two-particle interaction $\lambda$, and the number of particles. The ground state is described by a Jastrow wave function. The results known for systems with an interaction inversely proportional to the squared distance between particles are reproduced in the limit ${\tau\to\infty}$.

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
$^2$Chair of Quantum Statistics and Field Theory, Moscow State University, Moscow, Russia
Issue 3, 2008

Moscow University Physics Bulletin

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