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**London theory, Landau theory.... and Lorentz Einstein law**

I am trying to learn all I can about superconductivity and discovered an interesting document in Internet. Does the Lorentz Einstein law hold true for the supercurrent :

1) of the London approach?

**j**

_{s}

**=**... ∂θ/∂

**r**

**- A**where θ is the phase and

**A**is the EM potential vector

2) of the Landau theory?

3)of the BCS theory?

One more question : does the London theory include the case of a rotating charge (gyromagnetic effect with

**A = ω**x

**r**)?