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So let's come to the last section of this course, and this is also considered an add on.

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So it's not part of the actual course, and the reason is it's also way more difficult than what we

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have discussed so far, at least from the physical side.

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From the numerical side, it's actually not really that difficult, as you will see.

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So here we will discuss the electronic properties of graphene, which is a two dimensional material,

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and it is really considered a material of the future.

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And it was discovered in 2010 or it was discovered earlier.

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But in 2010, the scientists said this covered graphene got the Nobel Prize.

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And here we will therefore discuss really Nobel Prize physics and release state of the art, the research

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and really new research that you don't find in all the textbooks.

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So actually solving this problem would consider many body quantum mechanics.

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So it sounds very fancy and very difficult.

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However, we don't really have to know much about quantum mechanics to be able to solve it.

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So then the next lectures, I will explain to you how we can describe the problem in terms of a matrix.

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And then we will just use two concepts that we have also used previously.

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For example, we would calculate the eigenvalues and then we will plot the eigenvalues, and this will

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give us information about the electronic properties of graphene.

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So of course, in the following lectures, I will discuss way more about the material and about its

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properties.

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But please once again remember this is considered an add on.

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So it is way more difficult and not really part of the actual course.

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But I thought for the people that are interested, it could be very helpful and could be very enlightening

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that you do research that this really on the Nobel Prize level.

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So to say.