Concept problem, we can determine the possible value of Lx in hydrogen

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SUMMARY

The discussion centers on the determination of the possible value of Lx in a hydrogen atom within the framework of quantum mechanics. It is established that while Lx can be measured, its value cannot be uniquely defined when Lz is known, due to the principles of quantum uncertainty. The participant expresses confusion regarding the conflicting information from their textbook, which states that Lx cannot be determined. The conversation clarifies that Lx can yield a result upon measurement, but this measurement affects the certainty of Lz.

PREREQUISITES
  • Understanding of quantum mechanics principles, particularly angular momentum.
  • Familiarity with the concepts of Lx and Lz in quantum systems.
  • Knowledge of measurement uncertainty in quantum mechanics.
  • Basic grasp of the hydrogen atom's quantum states.
NEXT STEPS
  • Research the principles of angular momentum in quantum mechanics.
  • Study the implications of the Heisenberg uncertainty principle on quantum measurements.
  • Explore the mathematical representation of angular momentum operators in quantum mechanics.
  • Investigate the relationship between Lx and Lz in quantum systems through examples.
USEFUL FOR

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

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concept problem, we can determine the possible value of Lx in hydrogen atom?
The book of introduction to quantum mechanics told me that The value of Lx can not be determined.
I know the concept behind this statement
However, when I am practicing, I see one of my question that requires me the determine the possible value of Lx as well as the probability! This is not a homework.
How to determine it? It is possible? The book tell me that Lx can be determined! Is there anything that I am missing?
 

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The book of introduction to quantum mechanics told me that The value of Lx can not be determined.
More context would be interesting.
I guess it is a statement like "if we know Lz, Lx has no fixed unique value".
You can measure Lx, and you will get a result, but then Lz has no longer a fixed unique value.
 

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