Thank you for your reply kuruman, yes using this method I get exactly the same as method 1. The potential was important to me for another reason, I went from there in my calculations but did not think of this much simpler way. Cheers!
Dear all,
I am trying to find the capacitance of a parallel plate structure that comprises a spatially varying (linear) dielectric in one dimension. I have two methods of solving this which give different answers, and I am not sure which is correct.
I consider the dielectric region to be...
There's no way of controlling the information you send (making the use of the word a bit of a misnomer), we know (or pretty sure) that the collapse of the wavefunction is 'instantaneous' now (youtube.com/watch?v=6Dp27XYjHuk) but this doesn't mean one can control what state it collapses in!
If...
If anyone comes across this, I have come to the following conclusion:
In my structures the tunnel probabilities are small, but the thickness is very small such that an electron tunnel event is expected to occur quite quickly. An accurate description of transition time of a tunnel electron is to...
I don't understand this so much myself but would that be defined over a specific region of space? So having solved for ##\psi(x)## in all regions, it would be a measurement of the "potential expectation value"?
$$<V> = \int_{x-domain} \psi(x)V(x)\psi^*(x)\,dx$$
Cool sounds fun! First of all I would say focus on one major objective at a time, do you need the properties of your graphene QDs to be highly specific? I assume if you fabricate the QDs in right way you will have a chance at measuring the toxicity?
I am not sure about the toxicity part and...
Maybe we need to be a little more specific, first are you trying to model these properties theoretically or measure them by experiment, second what kind of quantum dots? What material are they made of, how small are they? By the sounds of it you're interested in quantum dots immersed in a liquid...
I am not sure how it is rigorously defined, no doubt it has to do with the potential in the semiconductor. Perhaps you must find the actual wave numbers and approximate the dispersion relation to a parabolic one within the band of interest, with mass adjusted as fitting parameter? For the...
I think the problem here is that the time-independent Schrödinger equation is simply not a direct analog of the conservation of energy, it's probably not helpful to go in thinking of it like that. The case where you look at E<V of course breaks the conservation of energy the way you understand...
Hi there,
I have a question that I think has an answer but I cannot find it in the literature in any convincing way:
I am using two models, WKB based and TMM based to calculate the transmission probability of electrons through a (initially rectangular) thin potential of the order of 1-2nm...