On the wave functions of an exactly solvable model of interacting fermions with spin 1/2 in an external field |
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| Authors: | V I Inozemtsev N G Inozemtseva B I Sadovnikov |
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| Institution: | (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 |
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| Abstract: | It is shown that hyperbolic systems of Sutherland spin 1/2 particles in an external field with the Morse potential characterized by parameter τ2 have a discrete part of their spectrum in the case of a particular constraint on the τ, parameter of two-particle interaction λ, 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 τ → ∞. |
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