Solving Quantum Physics Problem: Tunneling Probability and Electron Detection"

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SUMMARY

The discussion focuses on calculating the tunneling probability of an electron with a kinetic energy of 2.0 eV encountering a potential barrier of 6.5 eV and a width of 0.5 nm. The relevant formula for tunneling probability, derived from quantum mechanics, is applied when the energy of the electron (E) is less than the potential barrier (V0). The calculation indicates that a pulse of 1 million electrons will yield a specific number of detectable electrons on the other side of the barrier, based on the tunneling probability derived from the given parameters.

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  • Understanding of quantum mechanics principles, particularly tunneling phenomena.
  • Familiarity with the concept of potential barriers in quantum physics.
  • Knowledge of the formula for tunneling probability in quantum mechanics.
  • Basic skills in mathematical calculations involving exponential functions.
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Students and professionals in physics, particularly those specializing in quantum mechanics, as well as researchers interested in electron behavior and tunneling phenomena.

Ming0407
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An electron with kinetic energy E=2.0eV, is incident on a potential barrier with V0=6.5eV and
width 0.5nm. What is the possibility of the electron tunneling through the barrier? If a pulse of 1 million such electrons incident on the same barrier, how many electrons can be detected in the other side of the barrier?

How to find the possibility?

Can someone tell me what formulas to use?
 
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