daudaudaudau
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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')|^2dx'<br />
|\Psi(x,x')|^2 is the probability density of finding a particle at x and a particle at x'. Does this mean that \int|\Psi(x,x')|^2dx' is the probability density of finding a particle at x ?
<br /> n(x)=2\int|\Psi(x,x')|^2dx'<br />
|\Psi(x,x')|^2 is the probability density of finding a particle at x and a particle at x'. Does this mean that \int|\Psi(x,x')|^2dx' is the probability density of finding a particle at x ?