GENERALIZATION OF LONDONS'EQUATIONS BASED ON THE WAVE-FUNCTION OF THE COOPER'S PAIRS
The first phenomenological theory for the superconductivity consists of two Londons'equations.After Londons'theory,Bardeen,Cooper,and Schrieffer set up the mi-croscopic theory(BCS theory)for conventional superconductors.The BCS theory states that,below the critical temperature,electrons of a metal are pairing to form quasi-particles,named as Cooper's pairs.The supperconducting state is the condensate of macroscopic number of Cooper's pairs in a unique quantum state.We give a detail derivation of Londons'equations based on the BCS picture,emphasizing the local gauge invariant and taking the variation of the density of Cooper's pairs into account.
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