The Tunnel Through a Barrier

Written by Studio AM.

A low-energy ball cannot cross a hill; it rolls back. At quantum scales, particles do not behave like tiny balls with exact paths. A mathematical wave function describes where a particle may be found. That function can extend into and beyond an energy barrier. This effect is called quantum tunneling.

The word “tunnel” is a metaphor. A particle does not dig a passage or borrow energy while hidden inside. At a simple barrier, the wave function generally decreases through that region rather than ending sharply at the boundary. A nonzero value on the far side means there is some probability of finding the particle there. Thinner barriers generally make that probability larger. A measurement may then find the particle there. Tunneling probability falls rapidly as a barrier becomes wider or harder to cross. The particle's mass and energy also matter. For everyday objects, the probability is so fantastically small that classical expectations work. At atomic scales, the effect can be important.

Tunneling helps explain radioactive alpha decay, in which a particle escapes a nucleus through a barrier. It also enables scanning tunneling microscopes. When a conducting tip comes extremely close to a surface, electrons can tunnel across the narrow gap. The resulting current changes sensitively with distance, allowing instruments to map surfaces at atomic scale.

The probability depends on precise conditions, which researchers can control in instruments. Quantum tunneling is strange because the far-side result conflicts with the ball-and-hill picture, yet its measured patterns are dependable enough to reveal atoms and support electronic devices.

Questions

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  1. Question 1 of 4

    What is the main idea of the passage?

  2. Question 2 of 4

    Why can a scanning tunneling microscope map tiny surface changes?

  3. Question 3 of 4

    What does “nonzero” mean in the second paragraph?

  4. Question 4 of 4

    Which nuclear process does tunneling help explain?

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