00:01
In this problem, we're given a wave function, which is this exponential thing right here.
00:06
And we want to show that this wave function is a solution to the schrodinger equation, specifically this equation 40 .15 in the book.
00:15
And normally this would have like a potential term, right, plus u of x, psi of x.
00:21
But in the problem, we're told that this is, that the u of x is equal to zero.
00:25
And so we'll just get rid of that for this problem.
00:30
Okay, so to do this, all we have to do is plug in the wave function and see if it works.
00:36
And so what we're going to do is take two derivatives of sine x, so that's what's here.
00:42
So let's just take the first derivative of si vex right here, si prime.
00:46
Let's see.
00:47
So what we're going to get is a, and we're going to get an ik from just the chain rule, and then next natural back...
