Abstract

Superconductivity is not considered as a Bose–Einstein condensation, because the creation and annihilation operators of Cooper pairs do not satisfy bosonic commutation relations. However, collective pairs can be constructed by a linear combination of Cooper pairs and we demonstrate in this Letter that these collective Cooper pairs have bosonic nature. In addition, the Bardeen–Cooper–Schrieffer (BCS) superconducting ground state can be built by means of these pairs and in consequence, could be treated as a Bose–Einstein condensate.

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