00:02
Hello, in the question we have to demonstrate that if the particle is in a one dimensional stationary bound state, so then the expectation value of its momentum must be zero.
00:12
So we have to demonstrate this.
00:13
The expectation value of momentum is zero.
00:16
So there are two approaches.
00:17
First approach is the earn phase theorem.
00:21
So the first approach is earn phase theorem.
00:30
So what it says, so it says that expectation value of momentum is equal to m to.
00:38
Times d by d t expectation value of x.
00:42
Now this is a stationary bound state.
00:45
So stage for stationary state the expectation value will not change with time.
00:49
So this will turn out to be zero.
00:52
So from your expectation value of this will be zero.
00:55
Now we will solve it in a different way.
00:59
So we will take one dimensional infinite potential well because this is also a bound state which we know.
01:06
So this is the infinite potential...