00:01
So in this question, you asked you to prove that, you know, the two wave functions, um as function of x, and un as function of x, which are the way functions of two different states of a quantum particle confined in a box, basically.
00:21
Let's say this is x direction, and this is infinite, okay, going to infinite.
00:26
So the particle is complete to confine to move into this, in this potential way.
00:34
Now let's assume that this potential has as a lens, which we choose to be the unit of lens.
00:43
So just run.
00:45
So, you know, for such a particle, the wave function is actually given by for um.
00:54
Because these are the nodes of the wave function, so you can imagine that i will take this to be, okay, i'll take this to be the arranging, x equals zero, okay, this is one, right? so you can show that you know that umx is simply giving, it's proportion to sign, a sign way function, right? so it's m pi over one actually times x.
01:22
And then you and x, of course, is simply given by sign, m pi over 1 times x.
01:29
And you need to show that you m x, unx, the integral from this over this lens is 0.
01:43
If m for m not the same as ironite...