Electron tunneling

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Homework Statement



I don't understand how a battery will affect the electron's wavefunction.


Homework Equations



The image I've attached is something like my problem.

The Attempt at a Solution



I know without a battery, the wavefunctions of an electron from the right side and left side are mirror images (my professor says, 'symmetric').

With a battery, there will a net current because of the added potential. Since there is a net current, the wavefunctions of the right and left electrons are different ('asymmetric').

What would a right side electron's wavefunction look like? (The attached image is the wavefunction of a left electron)
 

Attachments

  • tunneling.jpg
    tunneling.jpg
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