TL;DR
This paper demonstrates that Cooper pairs can be understood as solutions to the bipolaron problem within the Fröhlich Hamiltonian framework, providing insights into their energy and differences from two-particle solutions.
Contribution
It shows that Cooper pairs are solutions of the bipolaron problem for the Fröhlich Hamiltonian, connecting two-particle and many-body descriptions.
Findings
Total energy of a pair calculated for the Fröhlich Hamiltonian
Differences between model and initial two-particle solutions discussed
Cooper pairs identified as bipolaron solutions
Abstract
It is shown that Cooper pairs are a solution of the bipolaron problem for model Fr\"{o}hlich Hamiltonian. The total energy of a pair for the initial Fr\"{o}hlich Hamiltonian is found. Differences between the solutions for the model and initial two-particle problems are discussed.
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