1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Commutating operators -Quantum

  1. Nov 9, 2013 #1
    1. The problem statement, all variables and given/known data

    For a free particle moving in one dimension, divide the following set of operators into subsets of commuting operators:
    [P,x, H, p]

    2. Relevant equations

    3. The attempt at a solution
    I don't get the statement itself
    What does the set represents for the particle ?
    Dividing into subsets is like finding the operators that commute in the set ?

  2. jcsd
  3. Nov 9, 2013 #2
    You're just supposed to find the subsets of that set such that the commutator of every operator in a subset commutes with every other operator in that subset.

    So if we had[itex]A, B,[/itex] and [itex]C[/itex], and [itex][A,B] = 0[/itex], but [itex][A,C] \neq 0[/itex] and [itex][B,C] \neq 0[/itex], then your sets would be

    [itex]\left\{ A, B \right\}, \left\{ C\right\}[/itex]
  4. Nov 10, 2013 #3
    Thank you !
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted