Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Significance of commutation of operators? position and momentum

  1. Aug 16, 2012 #1
    significance of commutation of operators?

    how do u show that the position and momentum operators do not commute?
     
  2. jcsd
  3. Aug 16, 2012 #2

    Simon Bridge

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2016 Award

    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.
     
  4. Aug 16, 2012 #3
    ive done some working out..
     

    Attached Files:

  5. Aug 16, 2012 #4

    Simon Bridge

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2016 Award

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Significance of commutation of operators? position and momentum
Loading...