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