- #1

vsage

An interesting question was posed, and since I have many problems of this type I'll just make the question general:

Suppose you have operations A and B, if [A, B] != 0, then what can you conclude about a simultaneous measurement of A and B? For example, if A was momentum in the x direction's operator and B was the position operator, what does a nonzero commutator mean?

The best answer I can guess is that depending on which operator is done first, the result will be different and therefore a simultaneous operation to get the information from both operators is impossible, or more accurately gives physically meaningless or incorrect results. Thoughts?

Suppose you have operations A and B, if [A, B] != 0, then what can you conclude about a simultaneous measurement of A and B? For example, if A was momentum in the x direction's operator and B was the position operator, what does a nonzero commutator mean?

The best answer I can guess is that depending on which operator is done first, the result will be different and therefore a simultaneous operation to get the information from both operators is impossible, or more accurately gives physically meaningless or incorrect results. Thoughts?

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