Cooper pairing reexamined

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dc.creatorFortes, M.
dc.creatorde Llano, M.
dc.creatorSolis, M. A.
dc.date2008-06-21
dc.date.accessioned2026-07-07T09:46:02Z
dc.date.available2026-07-07T09:46:02Z
dc.descriptionWhen both two-electron \textit{and} two-hole Cooper-pairing are treated on an equal footing in the ladder approximation to the Bethe-Salpeter (BS) equation, the zero-total-momentum Cooper-pair energy is found to have two \textit{real} solutions $\mathcal{E}_{0}^{BS}=\pm 2\hbar ω_{{D}%}/\sqrt{{e}^{2/λ}+{1}}$ which coincide with the zero-temperature BCS energy gap $Δ=\hbar ω_{D}/\sinh (1/λ) $ in the weak coupling limit. Here, $\hbar ω_{D}$ is the Debye energy and $λ\geq 0$ the BCS model interaction coupling parameter. The interpretation of the BCS energy gap as the binding energy of a Cooper-pair is often claimed in the literature but, to our knowledge, never substantiated even in weak-coupling as we find here. In addition, we confirm the two purely-\textit{imaginary} solutions assumed since at least the late 1950s as the \textit{only} solutions, namely, $\mathcal{E}_{0}^{BS}=\pm i2\hbar ω_{D}/\sqrt{{e}^{2/λ}{-1}}.$
dc.description5 pages and 2 figures. Submitted for publication
dc.identifierhttps://arxiv.org/abs/0806.3492
dc.identifierhttp://arxiv.org/abs/0806.3492
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163394
dc.subjectSuperconductivity
dc.titleCooper pairing reexamined
dc.typetext

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