Mobile Battery Charging

Some thoughts on the issue of charging batteries quickly. It seems to be the second biggest stumbling block with electric vehicles, the first being range. Right now, as far as I know, there are two main ways of storing electrical energy.

One is with batteries, the other is with capacitors. Capacitors charge and discharge very quickly but aren’t suited for slow discharges. Also, they have lower energy density than batteries. It takes multiple capacitor charges to equal the energy in a battery of comparable size.

What if there was a way to increase the energy of a capacitor to match that of a battery, and then find a way to charge batteries on-board a vehicle while it is in motion with a capacitor that’s quickly charged while stationary?