So let's come to the last section of this course, and this is also considered an add on.
So it's not part of the actual course, and the reason is it's also way more difficult than what we
have discussed so far, at least from the physical side.
From the numerical side, it's actually not really that difficult, as you will see.
So here we will discuss the electronic properties of graphene, which is a two dimensional material,
and it is really considered a material of the future.
And it was discovered in 2010 or it was discovered earlier.
But in 2010, the scientists said this covered graphene got the Nobel Prize.
And here we will therefore discuss really Nobel Prize physics and release state of the art, the research
and really new research that you don't find in all the textbooks.
So actually solving this problem would consider many body quantum mechanics.
So it sounds very fancy and very difficult.
However, we don't really have to know much about quantum mechanics to be able to solve it.
So then the next lectures, I will explain to you how we can describe the problem in terms of a matrix.
And then we will just use two concepts that we have also used previously.
For example, we would calculate the eigenvalues and then we will plot the eigenvalues, and this will
give us information about the electronic properties of graphene.
So of course, in the following lectures, I will discuss way more about the material and about its
properties.
But please once again remember this is considered an add on.
So it is way more difficult and not really part of the actual course.
But I thought for the people that are interested, it could be very helpful and could be very enlightening
that you do research that this really on the Nobel Prize level.
So to say.