significance of commutation of operators? position and momentum

solas99

significance of commutation of operators?

how do u show that the position and momentum operators do not commute?

Simon Bridge

If the operators commute, and the operators correspond to observables, then it is possible to make simultaneous measurements of the observables to arbitrary accuracy.

You show that two operators do or do not commute by applying the definition of commuting and doing the math. So start from the definition.

solas99

ive done some working out..

Simon Bridge

Also see:
http://www.physicsforums.com/showthread.php?t=145508

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solas99	significance of commutation of operators? position and momentum Tweet significance of commutation of operators? how do u show that the position and momentum operators do not commute?

Simon Bridge Recognitions: Homework Help	If the operators commute, and the operators correspond to observables, then it is possible to make simultaneous measurements of the observables to arbitrary accuracy. You show that two operators do or do not commute by applying the definition of commuting and doing the math. So start from the definition.