Eigenvalue of Total Angular Momentum Probability

Click For Summary
SUMMARY

The discussion centers on the eigenvalue of the total angular momentum operator squared, specifically for the state ψ. It is established that the eigenvalue is given by the formula j(j+1), which equals 2 when j=1. Consequently, the probability of attaining the eigenvalue 2 for the total angular momentum squared is definitively 100% when j=1, confirming the user's understanding of the concept.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with angular momentum operators
  • Knowledge of eigenvalues and eigenstates
  • Basic grasp of quantum state notation
NEXT STEPS
  • Research the implications of angular momentum in quantum mechanics
  • Study the properties of eigenvalues in quantum systems
  • Explore the role of total angular momentum in quantum state transformations
  • Learn about the mathematical derivation of j(j+1) for angular momentum
USEFUL FOR

Students and professionals in quantum mechanics, physicists specializing in angular momentum, and anyone studying the mathematical foundations of quantum states.

Sekonda
Messages
201
Reaction score
0
Hey,

My question is on the probability of attaining a particular eigenvalue for the total angular momentum operator squared for a particular state ψ, the question is shown in the image below:

j_2.png


I believe the eigenvalue of the total angular momentum operator squared is given by j(j+1), which is only equal to 2 when j=1, does this mean the probability of attaining the eigenvalue 2 for the total angular momentum squared is just 1 (i.e. 100%)?

Cheers,
SK
 
Physics news on Phys.org
Yes, you got it.
 
Marvellous! Easier than I thought then, Cheers vela.
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
Replies
4
Views
2K
Replies
1
Views
2K
  • · Replies 0 ·
Replies
0
Views
2K
Replies
3
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 32 ·
2
Replies
32
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 21 ·
Replies
21
Views
2K