Two particle probability density

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If I have a wave function \Psi(x,x') for two identical fermions, then I have learned that the particle density at x is
<br /> n(x)=2\int|\Psi(x,x&#039;)|^2dx&#039;<br />

|\Psi(x,x&#039;)|^2 is the probability density of finding a particle at x and a particle at x&#039;. Does this mean that \int|\Psi(x,x&#039;)|^2dx&#039; is the probability density of finding a particle at x ?
 
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Yes, the particle density and probability density are the same thing.
 
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