Electron Pairing in a Cooper Pair as Attraction of Oppositely Directed Quantum Momenta

Abstract

This work is aimed at studying the equations of state for a compensating interaction field, that is, a distortion tensor, obtained from translation invariance of the Lagrangian. In this model, the wave vector or the quantum momentum of a particle is the interaction charge for the compensating distortion tensor. Particular attention is paid to the quantum momenta of a particle that lies on the same straight line. It is shown that opposite quantum momenta are also attracted as unlike electric charges, which explains the attraction of electrons with oppositely directed quantum momenta in superconducting pairs.