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Journal of Applied Mathematics and Physics

Towards a Novel Super Current

H. Klar

Published Jan 1, 2022• 0 citations
Publisher

Abstract

For nonrelativistic two-electron atoms, we employ a phase-amplitude method to derive an energy-dependent three-body force which controls the dynamics of the atom near the threshold for double escape. Its potential energy has been taken into account to derive beyond a static adiabatic basis a novel partial differential equation that replaces an adiabatic basis. That equation whose solutions span a Banach space has been solved exactly in the energy window near threshold. In that energy range, we find the formation of unstable electron pairs, comparable to Cooper pairs. In contrast to Cooper pairs, our pairs are bound by dominant correlation rather than by the coupling to a phonon field. These ingredients are suspected to allow for a super current independent of the temperature.

DOI
10.4236/jamp.2022.107163

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A mixed mean-field/BCS phase with an energy gap at high TcT_cTc​
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