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Position space projection of the Single and two particle states of the Dirac Equation

  1. Dec 18, 2011 #1
    Hello,

    In the notation adopted by Peskin and Schroeder, the single particle state is

    [tex]\left|\boldsymbol{p}_1, s_1\right\rangle = \sqrt{2 E_{p}} {a_{p_1}^{s_1}}^{\dagger}\left|0\right\rangle[/tex]

    How does one write down

    [tex]\left\langle r|\boldsymbol{p}_1, s_1\right\rangle = \sqrt{2 E_{p}} \left\langle r|{a_{p_1}^{s_1}}^{\dagger}|0\right\rangle[/tex]

    ?

    Thanks in advance..
     
  2. jcsd
  3. Dec 20, 2011 #2
    Re: Position space projection of the Single and two particle states of the Dirac Equa

    Any ideas, anyone? This ought to be connected to the Dirac field \psi(x) and its adjoint, but I don't see how to isolate the particle (antiparticle) contribution..
     
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