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Commuting Operators

  1. Apr 20, 2016 #1
    1. The problem statement, all variables and given/known data
    It is known that ##M_1,M_2, M_3## commute with each other but I don't see how the second line is achieved even though it says that it's using that ##M_1## and ##M_2## commute? 2016-04-20 (2).png
     
  2. jcsd
  3. Apr 20, 2016 #2

    TSny

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    Note M2(1+M1) = M2 + M2M1

    How can you rewrite the right hand side using the fact that M1 and M2 commute?
     
  4. Apr 20, 2016 #3
    ##M_2 + M_1M_2##
     
  5. Apr 20, 2016 #4

    TSny

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    OK. Can you see something you can do with this expression that will help?
     
  6. Apr 21, 2016 #5
    ##(1 +M_1)M_2## ?
     
  7. Apr 21, 2016 #6

    TSny

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    Yes.
     
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