Does Measurement in the X Direction Affect Y Coordinate in Quantum Systems?

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SUMMARY

The discussion centers on the relationship between measurements in the x direction and their effect on the y coordinate in quantum systems. It is established that position operators in different dimensions, such as x and y, commute, meaning measurements in one direction do not affect the other. However, this does not apply to all vector operators; specifically, angular momentum components do not commute, indicating that measurements can influence one another in certain contexts.

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  • Quantum mechanics fundamentals
  • Understanding of position and momentum operators
  • Knowledge of vector operators in quantum systems
  • Familiarity with angular momentum in quantum physics
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Quantum physicists, students of quantum mechanics, and researchers interested in the implications of measurement theory in quantum systems.

Amith2006
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Does x & y directions commute? Seem trivial! Just wondering whether any measurement made in the x direction affect it's y coordinate.
 
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The position operators in different dimensions do commute with each other. Same with momentum. But it's not always the case that the different components of a vector operator commute - for example, angular momentum.
 
Thanx buddy.
 

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