Authors: Ting-Hang Pei
We review the superconductor theory based on the electron pair first. Then several viewpoints are discussed and concluded that such electron pair is not stable in the superconducting state. The speed of each electron in the electron pair is about 2.02x10^6 m/s in Al. However, the longitudinal and transverse speeds of the crystal waves in Al is merely 6.47x10^3 m/s and 3.40x10^3 m/s in  direction, respectively. It is almost impossible that the mediated phonon can real-time transfer momentum and energy between two so high-speed and inverse-momentum electrons in the superconducting state. The more possible process is that each electron can absorb other phonons propagating from any place in the crystal. The best condition for the electron pair is total zero momentum but how to make such electron pair stably conduct electric current is a problem because one of them is accelerated and the other is decelerated applied the external electric field. In conclusion, the electron pair is not physical but just the quasi-physical process and the mediated phonon is a virtual one for calculating the second-order perturbation.
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