In this video I'd like to calculate the expectation of position. So we're going to use our position operator. So the position operator is something I've calculated before, and it's hbar over 2mm, it's graded outside of a plus a minus. So in order to get the expectation value of an observable, you need to basically do the following integral. And it's written like this. Okay, and you need to put it into a wave function. So we're going to say u, and we're going to have our operator like this. Okay, so we're going to pull out the constants because there are no interest to anybody really yet. And we're going to have a plus a minus like that, u. And I've shown you in the past that this can be split up again. So we're going to hbar over 2mm times omega, like that, times this integral. Plus this integral like so. All right, so let's do that. So what happens as a result? Well, let's just do it. Okay, a plus. So you first of all, you raise it, and then you root it. So you get u times u, or u n, let's say, and u n plus 1 times root n plus 1. And this one is equal to u and u n minus 1 times root n. Like that times our constants will say. But look, these here, that's orthogonal because they're not u n. We'll say m is not equal to n. In this case, n is not equal to n plus 1. That's equal to 0. That's equal to 0. So therefore the average of position is equal to 0. All right, thanks for watching. Please pass it onto your friends and subscribe to my channel.