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Quantum Tunneling

Quantum TunnelingIn this chapter, we discuss the phenomena which allows an electron to quan-tum tunnel over a classically forbidden eV9 eV99% of timeRolls over10 eV1% of the time10 eVRolls backThis is a strikingly non-intuitive process where small changes in either theheight or width of a barrier create large changes the Tunneling current of particlescrossing the barrier. Quantum Tunneling controls natural phenomena such asradioactive decay where a factor of three increase in the energy released duringa decay is responsible for a 1020fold increase in the decay rate.

It strikes a potential step of height V at x= 0 producing both a reflected wave of amplitude rwhich travels to the left along with a transmitted wave of amplitude twhich travels to the right. In order to insure traveling waves in both the x>0 and x<0 regions, the electron must be classically allowed and have sufficient energy such that E>V ...

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