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

Raúl Riera Aroche; Rodrigo Arturo Rosas-Cabrera; Rodrigo Arturo Rosas Burgos; René Betancourt-Riera; Ricardo Betancourt-Riera

arXiv · 1707.03041

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

Raúl Riera Aroche·Rodrigo Arturo Rosas-Cabrera·Rodrigo Arturo Rosas Burgos·René Betancourt-Riera·Ricardo Betancourt-Riera

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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.

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Raúl Riera Aroche, Rodrigo Arturo Rosas-Cabrera, Rodrigo Arturo Rosas Burgos, René Betancourt-Riera, Ricardo Betancourt-Riera. 2017-07-10. Theory of Correlated Pairs of Electrons Oscillating in Resonant Quantum States to Reach the Critical Temperature in a Metal. https://arxiv.org/abs/1707.03041

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