Quantum Tunneling Across a Square Barrier

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SUMMARY

The discussion focuses on estimating the transmission coefficient for 7 eV electrons tunneling through a square barrier of height 10 eV, with two scenarios: a barrier thickness of 5 nm and 1 nm. The key equation for quantum tunneling is the transmission coefficient, which can be derived from the potential barrier parameters. The participant initially struggled with the problem but realized the error was due to using incorrect values in their textbook equation.

PREREQUISITES
  • Understanding of quantum tunneling principles
  • Familiarity with the concept of potential barriers
  • Knowledge of the transmission coefficient equation
  • Basic grasp of electron energy levels in quantum mechanics
NEXT STEPS
  • Research the quantum tunneling equation for transmission coefficients
  • Study the effects of barrier thickness on tunneling probability
  • Explore the implications of potential barrier height in quantum mechanics
  • Learn about the applications of quantum tunneling in semiconductor physics
USEFUL FOR

Physics students, quantum mechanics enthusiasts, and researchers in semiconductor technology will benefit from this discussion, particularly those interested in quantum tunneling phenomena.

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Homework Statement



Two copper conducting wires are separated by an insulating oxide layer. This layer acts as a square
barrier of height 10 eV. Estimate the transmission coefficient for penetration by 7 eV electrons (a) if the
layer thickness if 5 nm and (b) if the layer thickness is 1 nm

Homework Equations



I don't know. That is the problem.

The Attempt at a Solution



I don't even know where to start. I'm not asking for someone to do the problem for me. I just want a hint in the right direction. Thanks a lot!
 
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Well, for starters, what do you know (or can look up) about tunneling? Do you know what it is? Do you know any equations that apply to it?
 
I just figured it out actually. My problem was that I was using an equation in my textbook with the wrong values. Thanks!
 

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