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Thought you all might like to know, say, the probability of a human passing through a wall. Yes? Yes, because #QuantumMechanics is fun! Let's begin!
The set up: a barrier with a higher energy than an electron. Think a tall wall, and a ball that didn't get thrown high enough to go over. Classically, the electron scatters back, like the ball bounces back. But in quantum, that electron has a probability of passing through!
With the above case for the electron, we can find something called the transmission coefficient, which is literally the probability of a particle to pass through a barrier. It looks like this: (Sakurai P. 526) 
