Calculate the following: Q: Probability that the particle is in a region of width dx at x = 0? Q: Probability that the particle is in a region of width dx at x = 0.5 skin depths? Q: Probability that the particle is in a region of width dx at x = 1.0 skin depths? Q: Probability that the particle is in a region of width dx at x = 2.0 skin depths? Q: Probability that the particle is in a region of width dx at x = 10.0 skin depths?

One can explain radioactive decay of heavy elements via the quantum tunneling of particles out from their nuclei.

The electric potential energy around a U-238 nucleus has a barrier about 28 MeV high located about 9.3 fm from the center of the nucleus. An alpha particle inside with energy 4 MeV needs to tunnel through over 60 fm to escape from the nucleus.

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