The standard description of superconductivity states that first electrons form cooper pairs, and then cooper pairs form a condensate. Electrons being fermions can't condense, but cooper pairs being bosons can. Two thing I don't get.
1. Cooper pairs are bosons, but electrons they are made of are still fermions and still can't occupy the same state more than twice. How can it happen that bosons are all in a same state (and all have, let's say, the same coordinate), but still every boson consists of fermions in unique states (all having different coordinates)?
2. Okay, let's say that somehow happened, and now a bunch of bosons condensed into a same state (now let's say into a same momentum state), like a gas condense into liquid, and high binding energy prevents that bunch from disintegrating again. Now why does this bunch keep its momentum unchanged? Why does not it gradually slow down as a whole and loose its momentum, like a boat in the water, making the superconductive current cease? What makes the current stable? Why a single electron can't do the same trick?