Theory of Correlated Pairs of Electrons Oscillating in Resonant Quantum States to Reach the Critical Temperature in a Metal

TL;DR

This paper develops a theoretical framework describing how correlated electron pairs in resonant quantum states form at the critical temperature in metals, potentially explaining superconductivity mechanisms.

Contribution

It introduces a new model for correlated electron pairs oscillating in resonant states and analyzes conditions for their existence at the critical temperature in metals.

Findings

Derives a general equation for the binding energy of correlated pairs.

Defines a parameter characterizing a material's ability to form correlated pairs.

Analyzes the role of electron-electron and electron-phonon interactions in pair formation.

Abstract

The formation of Correlated Electron Pairs Oscillating around the Fermi level in Resonant Quantum States (CEPO-RQS), when a metal is cooled to its critical temperature T=Tc, is studied. The necessary conditions for the existence of CEPO-RQS are analyzed. The participation of electron-electron interaction screened by an electron dielectric constant of the form proposed by Thomas Fermi is considered and a physical meaning for the electron-phonon-electron interaction in the formation of the CEPO-RQS is given. The internal state of the CEPO-RQS is characterized by taking into account the internal Hamiltonian, obtaining a general equation that represents its binding energy and depends only on temperature and critical temperature. A parameter is also defined that contains the properties that qualitatively characterizes the nature of a material to form the CEPO-RQS.