How many quantum numbers would the system have overall?

Click For Summary
SUMMARY

The discussion centers on the number of quantum numbers in a system with angular momenta about three axes of rotation in a central potential. It emphasizes the importance of commuting observables in determining the overall quantum numbers. The inquiry suggests that if the angular momenta commute, the system would have a specific set of quantum numbers associated with those observables. The conversation also highlights the need for proper categorization of homework questions within dedicated subforums.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with angular momentum in quantum systems
  • Knowledge of commuting operators in quantum theory
  • Basic concepts of vector observables in quantum mechanics
NEXT STEPS
  • Research the properties of commuting observables in quantum mechanics
  • Study the role of angular momentum in quantum systems
  • Explore vector observables and their implications in quantum theory
  • Investigate the classification of quantum numbers in multi-dimensional systems
USEFUL FOR

Students of quantum mechanics, physicists exploring angular momentum, and educators seeking to clarify concepts related to quantum numbers and observables.

uskalu
Messages
38
Reaction score
0
If the angular momenta about three axes of rotation in a central potential did commute, how many quantum numbers would the
system have overall?
 
Physics news on Phys.org


If this is a homework question, it's not asked in the appropriate subforum. There's a subforum dedicated to HW questions.

I would like to help you find the answer to your question by yourself. That's why I'm asking you if you know other vector observable of a quantum system whose 3 components would commute among each other.
 

Similar threads

Undergrad How Do Quantum Numbers Influence Energy Levels in Atomic Systems?
  • · Replies 15 ·
Replies
15
Views
2K
Undergrad Uniqueness of quantum numbers
  • · Replies 3 ·
Replies
3
Views
1K
Graduate Exact symmetry, quantum states, and symmetric dynamics
  • · Replies 8 ·
Replies
8
Views
1K
Undergrad How are good quantum numbers related to perturbation theory?
  • · Replies 18 ·
Replies
18
Views
4K
Undergrad How Does Spin-Orbit Coupling Affect Quantum Number Validity?
  • · Replies 14 ·
Replies
14
Views
3K
Graduate Multi-scale Decoherence and the Quantum-to-Classical Transition
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad How to understand quantum computers?
  • · Replies 9 ·
Replies
9
Views
3K
Undergrad States and observables in quantum mechanics
  • · Replies 5 ·
Replies
5
Views
1K
Undergrad Does the Wigner-Eckart theorem require good quantum numbers?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Number of particles in canonical ensemble
  • · Replies 9 ·
Replies
9
Views
2K