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Help probability amplitud Klein gordon

  1. Oct 23, 2012 #1
    1. The problem statement, all variables and given/known data

    Hello, I need help. I don't know how to calculate this expression. probability amplitude in the final state of antiparticle with momentum q and particle with momentum p. I should write it in terms of creator and anihilation operators

    <p,q|[∫d4x(∅∂i∅*-∅*∂i∅)A(x)+(∅π-∅*π*)B(x)]|0>

    Where the functions and momentums ∅,π are the usual ones in the Klein-Gordon free hamiltonian.



    2. Relevant equations

    I think it will be useful |p,q>=√2Ep√2Eqa*pb*q|0>

    3. The attempt at a solution

    Then I expand the spatial derivatives and functions but I get terms like aa*+a*a etc. and I can't write the commutator and I don't know how to proceed

    The terms a*a|0>= 0

    I don't know which momentum write in each ∅ ∅* etc. in the calculation.

    Thanks
     
  2. jcsd
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