Conservation of current in superconductor

[voltan]

Hello,

I wonder:

1-) whether the (Cooper pair) current is conserved in a superconductor?

2-) and, how I can see it mathematically?

3-) are there any differences between the London theory and the BCS theory in regard to current conservation.

I would appreciate any comments on these questions.

Best wishes!

 

[DrDu]

Wellcome to the forum. That's a question I try to understand for years now.
Maybe you'll find the Nobel lecture of Nambu interesting in this respect:
http://www.nobelprize.org/nobel_prizes/physics/laureates/2008/nambu-lecture.html