What Are the Properties of Commutating Operators in Math?

Thread starter Cosmossos
Start date Jun 25, 2010
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Commutators

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Commutating operators in mathematics share common eigenstates, meaning they can be measured simultaneously without affecting each other's outcomes. This property allows for precise observations in quantum mechanics, where the measurement of one operator does not disturb the measurement of another. The discussion emphasizes the importance of understanding the relationship between these operators and their eigenstates. Clarification is sought on the reasoning behind these conclusions. Overall, the properties of commutating operators are crucial for simultaneous observability in quantum systems.

Jun 25, 2010

Cosmossos

Help me to be sure I got this right.
Two commutating operators:
1)have common eigenstates or the same?
2)can be observe at the same time.

thanks

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Jun 26, 2010

thebigstar25

I would say that you got it right, but would you please write down how you got this result..

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