# linear superposition of single-particle states

by Neitrino
Tags: asasasasas, linear, singleparticle, states, superposition
 P: 133 Dear all, I am not sure whether I understand correctly or not. So from Peskin Schroeder’s book: $$\phi(x)|0>= \int{\frac{d^3 p}{(2\pi)^3}\frac{1}{2E_p}e^{-ipx}|p>$$ 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
Emeritus