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How should you answer someone who asks, “In tunneling through a simple barrier, which way are particles moving, in the three regions--before, inside, and after the barrier?”

Short Answer

Expert verified

Particles aren’t moving until detected.

Step by step solution

01

Definition of quantum tunneling

The quantum phenomenon, in which a particle can penetrate a barrier and pass through it even though it is forbidden classically, is known as quantum tunneling.

02

Explanation and conclusion

If we talk about before the barrier, the particles can be detected to go towards the barrier as an incident wave and away from it as a reflected wave. After the barrier, the particles can be detected to move away from the barrier as a transmitted wave.

Inside the barrier, the particles tunnel like a wave and thus it can be said that they do not possess real momentum inside the barrier. So, their direction is not specific.

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Most popular questions from this chapter

Show that the quite general wave group given in equation (6-21) is a solution of the free-particle Schrödinger equation, provided that each plane wave's w does satisfy the matter-wave dispersion relation given in (6-23).

The diagram below plots ω(k) versus wave number for a particular phenomenon. How do the phase and group velocities compare, and do the answer depend on the central value of k under consideration? Explain.

Reflection and Transmission probabilities can be obtained from equations (6-12). The first step is substituting -fork'. (a) Why? (b) Make the substitutions and then use definitions of k and α to obtain equation (6-16).

Example 6.3 gives the refractive index for high-frequency electromagnetic radiation passing through Earth’s ionosphere. The constant b, related to the so-called plasma frequency, varies with atmospheric conditions, but a typical value is8×1015rad2/s2 . Given a GPS pulse of frequency1.5GHz traveling through 8kmof ionosphere, by how much, in meters, would the wave group and a particular wave crest be ahead of or behind (as the case may be) a pulse of light passing through the same distance of vacuum?

A ball is thrown straight up at 25ms-1. Someone asks “Ignoring air resistance. What is the probability of the ball tunneling to a height of1000m?” Explain why this is not an example of tunneling as discussed in this chapter, even if the ball were replaced with a small fundamental particle. (The fact that the potential energy varies with position is not the whole answer-passing through nonrectangular barriers is still tunnelirl8.)

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