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Parity Operations and CPT Theorem

  1. Nov 6, 2013 #1
    Hey all,

    I have a four part question:

    1. The problem statement, all variables and given/known data

    Let ψ represent a wave function where x,y,z are spatial coordinates and t is time. The particles [itex]\pi^{-}[/itex], [itex]\pi^{0}[/itex], [itex]\pi^{+}[/itex] are pions ([itex]\pi[/itex] mesons). The parity inversion operation is represented by

    3. The attempt at a solution

    Parities involve a simple change in sign with regards to the components.

    ∴Pψ(x,y,z,t)=ψ(-x.-y,-z,-t)

    Part B

    1. The problem statement, all variables and given/known data

    The time reversal of above qs is represent by?

    3. The attempt at a solution

    I am not sure if this is inversion of the components (xyzt) or inverting the sign of the pi mesons. My answer is but not sure:

    Tψ(x,y,z,t)=ψ(-x.-y,-z,t)

    Part C

    1. The problem statement, all variables and given/known data

    For first question, charge conjugation is what?

    3. The attempt at a solution

    C[itex]\pi^{-}[/itex] = [itex]\pi^{+}[/itex], C[itex]\pi^{+}[/itex]=[itex]\pi^{-}[/itex], C[itex]\pi^{0}[/itex] = [itex]\pi^{0}[/itex]

    This seems straight forward but maybe too straight forward?

    Part D

    1. The problem statement, all variables and given/known data

    According to the CPT theorem, if P is violated in an experiment and T is not, then we know what?

    3. The attempt at a solution

    Since CP are always grouped, the answer would be:

    C is also violated?

    Help anyone,

    Thanks
     
  2. jcsd
  3. Nov 6, 2013 #2
    Hi,

    no reply?

    Help?
     
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