Are Alpha-Ray Lasers Possible?
Since α rays are bosons, it should be theoretically possible for α rays to stimulate more α-ray emission. If it's possible to do that in the real world, it would be possible to have compact sources of nuclear power. What's even more important, it might even be possible to accelerate α decay, so we don't have to wait “500,000 years” (a ridiculous figure, but that's a different rant).
On the other hand, this seems obvious enough for it have been researched, so I guess it didn't pan out.