Are py and pz Compatible Operators in Quantum Mechanics?

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In quantum mechanics, the compatibility of operators py and pz is discussed in the context of their commutation relations. These momentum components are considered compatible because they commute, allowing for simultaneous diagonalization. The concept of "compatible operators" refers to the ability to measure them simultaneously without affecting each other's outcomes. Clarification on the specific definition of "compatible operators" is suggested for a more precise discussion. Understanding these relationships is crucial for solving problems involving momentum in quantum systems.
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Homework Statement


py and pz are components of the momentum . Do they compatible operators?

Homework Equations


compatible operators equation

The Attempt at a Solution


i think I have to use commutation
 
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Hi drFredkin. Welcome to the forum.

A little context might help. What do you mean "compatible operator?" Since you did not write down "compatible operators equation" it is hard to guess what you want.
 
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They are certainly "compatible" in the sense that they commute and can be simultaneously diagonalized...
 
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