We show that a (Jastrow projected or not) BCS wave function with any fixed number of fermions can be represented as a determinant. This is important for their numerical investigation, with applications to liquid He3 and Hubbard's model. We also propose a new type of wave function, describing a mixed state composed of paired and unpaired fermions. The physical properties of such a state are tentatively discussed.
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Bouchaud et al. (1988) studied this question.
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