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Update tunneling section & adiabatic part

Merged Michael Wimmer requested to merge jdtorres/lectures:master into master

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  • Tunneling

    I think we should reorganize this section, and essentially revert the order.

    • Change the title into "Transport"
    • Start with a sketch explaining that we now deal with a problem opposite to the bound state problem, namely E>V(x) for |x| -> \infty. And that then you can define a transport problem similar to what they did in QM with tunneling: image
    • Then continue with the case where E>V(x) everywhere, and hence T=1. Instead of the wave packet propagation we could instead simply have a plot of the WKB stationary wavefunction (specifically, the real part of psi, not the absolute value, in order to see oscillations). There you also see how the wave length and amplitude change. Ideal would be to have a slider where one can change e.g. the potential height (maybe even from negative [dip] to positive [peak, but always staying in E>V(X)) and see how the wave function changes - like was done in "Validity of the connection formulas"
    • Only then I would go to tunneling. Now you show there 2D kwant simulations I believe. I actually meant to simply do a 1D kwant simulation, and plot a 1D wave function (e.g. the real part of psi should look like that image ). Maybe also there we could have a slider changing the energy/potential height?
    Edited by Michael Wimmer
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  • Michael Wimmer enabled an automatic merge when the pipeline for 477d686f succeeds

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  • Michael Wimmer mentioned in commit 2f8e6fc4

    mentioned in commit 2f8e6fc4

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