I Spin state, base transformation

Click For Summary
To express the z spin state using x or y spin states, a solid understanding of the algebra of spin operators is essential. Resources such as textbooks and online course materials provide comprehensive explanations that can aid in grasping these concepts. Engaging with forums like PhysicsForums can be beneficial for addressing specific questions after initial research. It's important to approach the topic with a foundational knowledge of quantum mechanics, similar to what would be expected in a college-level course. Seeking clarification on specific challenges will yield more effective assistance.
usai
Messages
1
Reaction score
0
how do i write the z spin state using the spin state on x or on y?
 
Physics news on Phys.org
usai said:
how do i write the z spin state using the spin state on x or on y?
:welcome:
Have you tried an Internet search?
 
PeroK said:
Have you tried an Internet search?
He did. He asked us.
 
@usai you might not find the responses above completely helpful? :) :)

Seriously, kidding aside, PhysicsForums is generally better at helping people over the hard spots than laying out an entire lecture-equivalent tutorial (better done by textbooks and online course materials). So if you can get hold of a good online explanation of the algebra of the spin operators - several out there and some other poster may chime in with their favorite - and start in on it, come back with a more focused question as soon as you hit a hard spot you'll get better and more helpful answers.

Another way of thinking about it: Suppose you are taking a college-level intro to QM course as part of a physics bachelor's degree (which is about right for this topic and consistent with the I rating you gave the thread). You walk into your professor/TA's office during office hours with this question, the absolute first thing you're going to hear is "How far into the textbook/course notes did you get?". Same thing here, except with the general unstructuredness of the internet layered on top.
 
For the quantum state ##|l,m\rangle= |2,0\rangle## the z-component of angular momentum is zero and ##|L^2|=6 \hbar^2##. According to uncertainty it is impossible to determine the values of ##L_x, L_y, L_z## simultaneously. However, we know that ##L_x## and ## L_y##, like ##L_z##, get the values ##(-2,-1,0,1,2) \hbar##. In other words, for the state ##|2,0\rangle## we have ##\vec{L}=(L_x, L_y,0)## with ##L_x## and ## L_y## one of the values ##(-2,-1,0,1,2) \hbar##. But none of these...

Similar threads

Replies
6
Views
3K
Replies
2
Views
1K
Replies
4
Views
265
Replies
0
Views
930
Replies
124
Views
8K