How is the spin state determined after the first Stern-Gerlach experiment?

Click For Summary
SUMMARY

The discussion centers on determining the spin state after the first Stern-Gerlach (SG) experiment, specifically focusing on the notation |Ψ⟩ and its application. Participants clarify that the relevant state to consider is |ψ⟩ at different parts of the apparatus rather than |Ψ(t)⟩. The conversation emphasizes the importance of understanding the quantized outcomes of the SG experiment, which yield distinct spin states corresponding to the measurement process.

PREREQUISITES
  • Understanding of quantum mechanics principles, particularly spin states.
  • Familiarity with the Stern-Gerlach experiment and its implications on quantum measurement.
  • Knowledge of quantum state notation, specifically Dirac notation (|Ψ⟩ and |ψ⟩).
  • Basic grasp of quantum superposition and measurement outcomes.
NEXT STEPS
  • Study the Stern-Gerlach experiment in detail, focusing on spin quantization.
  • Learn about quantum state evolution and the role of measurement in quantum mechanics.
  • Explore Dirac notation and its applications in quantum mechanics.
  • Investigate the implications of spin states in quantum information theory.
USEFUL FOR

Students of quantum mechanics, physics educators, and researchers interested in quantum measurement and spin dynamics will benefit from this discussion.

dongwoo
Messages
4
Reaction score
0

Homework Statement



17759852_1356311227787112_4401473265822609018_n.jpg

problem no.3

Homework Equations


<ΨㅣΩㅣΨ>

The Attempt at a Solution



I used <ΨㅣΩㅣΨ> and but I don't find solution

lΨ(t)>=?

I need help...
 
Physics news on Phys.org
dongwoo said:
I used <ΨㅣΩㅣΨ> and but I don't find solution

lΨ(t)>=?
You'll have to give more details than that. Also, what is Ω?

I can however tell you that you seem to be going in the wrong direction. You don't actually need |Ψ(t)>, but rather |ψ> at the different parts of the apparatus.
 
DrClaude said:
You'll have to give more details than that. Also, what is Ω?

I can however tell you that you seem to be going in the wrong direction. You don't actually need |Ψ(t)>, but rather |ψ> at the different parts of the apparatus.

oh,
Ω, I put Sx in the above image. and do i really have to put | ψ>? I was worried about the problem all day... i need u're help oh god

I think that the conditions are not enough for the above problems.
 
So, what is the state of the spin, after coming out of the first SG apparatus?
 
DrClaude said:
So, what is the state of the spin, after coming out of the first SG apparatus?
In general, the value of the experiment, of course, does not come up with the quantized upper and lower lines?
 
Read the text of the problem. It should be pretty clear what is the state of the spin after coming out of the first SG as described in the problem.
 
DrClaude said:
Read the text of the problem. It should be pretty clear what is the state of the spin after coming out of the first SG as described in the problem.
Thank you for your kind help. Some clues have been caught.
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 43 ·
2
Replies
43
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
3
Views
2K
  • · Replies 24 ·
Replies
24
Views
3K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 12 ·
Replies
12
Views
2K