# How to predic the possible values of Lx

1. Mar 28, 2009

### EliotHijano

Hello, I would like to ask you something about angular momentum in quantum mechanics;
If I know that when t=0, my wave function is $$\Psi=\Upsilon^{m}_{l}$$ and $$l=3$$ and $$m=0$$, How can I calculate the probability of getting the value $$\hbar$$ meassuring $$L_{x}$$?

2. Mar 28, 2009

### Count Iblis

Why not perform a passive rotation of 90° around the y-axis. Under this rotation, the |3,m> states transform to the |3,m> states in the x-basis. But you get them expressed in terms of the z-basis. So, you then see how |3,1> in the x-basis is expressed in terms of the |3,m> states in the z-basis and you can then read-off the inner product.

3. Mar 28, 2009

### EliotHijano

Thank you Count Iblis, that was the answer, I did it before reading this, but thank you anyway!
the answer was 3/16 If i remember correctly.

4. Mar 28, 2009

### EliotHijano

Maybe it is usefull for anybody to see the process. Look at the pdf.

File size:
40 KB
Views:
113