Dear all,(adsbygoogle = window.adsbygoogle || []).push({});

I am not sure whether I understand correctly or not.

So from Peskin Schroeder’s book:

[tex]\phi(x)|0>=

\int{\frac{d^3 p}{(2\pi)^3}\frac{1}{2E_p}e^{-ipx}|p>

[/tex]

formula (2.41). Interpreting this formula they say – it’s a linear superposition of single-particle states that have well defined momentum. And also that operator phi(x) acting on the vacuum, creates a particle at position x.

My question – since it is a superposition of single-particle states and creates a particle at position X, So that operator creates many single-particle states with different momentum (since there is integration over p and each single-particle state has different momentum) and all of them (particles with different momentum ) are created at one position X?

Or briefly – many different momentum particles are created at one position X?

Thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Linear superposition of single-particle states

**Physics Forums | Science Articles, Homework Help, Discussion**