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:
https://www.physicsforums.com/showthread.php?t=145508