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

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作者
V. I. Inozemtsev
N. G. Inozemtseva
B. I. Sadovnikov
机构
[1] Joint Institute for Nuclear Research,Laboratory of Theoretical Physics
[2] Moscow State University,Chair of Quantum Statistics and Field Theory
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关键词
Morse Potential; Harmonic Oscillator Potential; Morse Oscillator; Spinless Boson; Inhomogeneous Spin;
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摘要
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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页码:164 / 167
页数:3
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