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The dynamical similarities between the three-dimensional (3D) electron fluid ``jellium'' model and the exactly soluble 1D fermion fluid with attractive {δ}-function pairwise potentials motivates solving the Cooper-pair problem in this model for all couplings and/or densities. This is accomplished exactly in graphical form. For weak coupling, the essential singularity characteristic of standard 3D low-temperature superconductivity reemerges, and for infinite coupling, BCS theory reproduces the exact ground-state system energy.
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Casas et al. (1991) studied this question.
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