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Homework Help: Proof of how [a+,[a+,a]]=0

  1. Sep 30, 2009 #1
    1. The problem statement, all variables and given/known data
    Actually the question is two long and I'll be done if I can show that
    [a+,[a+, a]=0 and similarly
    [a,[a+, a]=0
    where a+ is the raising and a is the lowering ladder operator in quantum oscillator.

    2. Relevant equations
    I tried the formulas
    [A,[B,C]]= -[C,[A,B]] -[B,[C,A]] and
    3. The attempt at a solution
  2. jcsd
  3. Sep 30, 2009 #2
    The Jacobi Identity is [A,[B,C]] = [[A,B],C] + [B,[A,C]]
  4. Sep 30, 2009 #3
    why can't I see a button "delete topic" because this is the wrong topic, the original one is the other one
    Last edited: Sep 30, 2009
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