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  • Suppose you drop a ball down the side of a valley - classical wisdom tells us that when

  • the ball rolls up the hill on the other side, it can't go any higher than the height from

  • which you dropped it - that's conservation of energy!

  • Even if there's a nice big long slope to roll down on the far side of the mountain, the

  • ball just can't get there - unless you give it enough energy to get over the barrier.

  • But in quantum mechanics, things work a little differently.

  • You see, the quantum world is probabilistic, so if you release a particle in a valley,

  • chances are the next time you see it, it'll still be somewhere in that valley.

  • But if there's a nice big slope to roll down on the far side of the mountainwell, that's

  • a place the particle would really like to be - and it turns out there's also a small

  • chance that's where you'll find it!

  • If this isn't crazy enough, it's even possible you'll find the particle in the middle of

  • the mountainand in real life this means that an electron sometimes hangs around inside

  • the nucleus of an atom!

Suppose you drop a ball down the side of a valley - classical wisdom tells us that when

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