Angular Momentum, classical vector analogy?

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SUMMARY

The discussion centers on the nature of angular momentum in quantum mechanics (QM) and its classification as a vector. Participants argue that while one cannot know all three components of angular momentum simultaneously due to the uncertainty principle, it still behaves as a vector under coordinate transformations. The consensus is that in quantum mechanics, angular momentum is treated as a vector operator, which aligns with classical vector properties despite the inherent uncertainties.

PREREQUISITES
  • Understanding of Quantum Mechanics principles
  • Familiarity with vector mathematics
  • Knowledge of the uncertainty principle in QM
  • Concept of operators in quantum physics
NEXT STEPS
  • Research the properties of vector operators in quantum mechanics
  • Study the implications of the uncertainty principle on angular momentum
  • Explore coordinate transformations in quantum systems
  • Examine classical vs. quantum analogies of angular momentum
USEFUL FOR

Students and professionals in physics, particularly those focusing on quantum mechanics, as well as educators seeking to clarify the relationship between classical and quantum angular momentum.

Erebus_Oneiros
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If one can't ever know all the three components of (QM) angular momentum, then can it even be considered as a "vector"?
Is it only cause it transforms as a vector in a coordinate transformation?
 
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