# An Existence Theorem for the BCS Integral Equation

@article{Odeh1964AnET, title={An Existence Theorem for the BCS Integral Equation}, author={Farouk M. Odeh}, journal={IBM Journal of Research and Development}, year={1964}, volume={8}, pages={187-188} }

- Published in IBM Journal of Research and Development 1964
DOI:10.1147/rd.82.0187

An important consequence of the Bardeen-Cooper-Schrieffer (BCS) theory of superconductivity is the existence of a gap in the energy spectrum. In the original BCS paper 1 the gap function was found by solving a homogeneous nonlinear integral equation in which the phonon interaction energy was taken to be a constant in some appropriate region and to be zero everywhere else. In that case the gap function is a constant which is determined by a simple algebraic relation. If one considers more… CONTINUE READING

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