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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
We present a model of electric current in a long cylinder crystal, with a core equation derived directly from Maxwell equation with the electric current expression based on probability density. The core equation has a general solution corresponding to normal state and a special solution corresponding to Meissner effect (superconducting state), which would only be present when all carriers are of surface state electrons. The model could be a ground for discussing transition from normal state to superconducting state. We have also discussed an alternative approach of perturbation treatment.
Keywords:condensed matter theory; lattice system having Meissner effect; solution of Maxwell equation