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

1. Dec 18, 2011

### maverick280857

Hello,

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

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

How does one write down

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

?

Thanks in advance..

2. Dec 20, 2011

### maverick280857

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..

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook