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Two particle probability density

  1. Nov 26, 2009 #1
    If I have a wave function [itex]\Psi(x,x')[/itex] for two identical fermions, then I have learned that the particle density at [itex]x[/itex] is
    [tex]
    n(x)=2\int|\Psi(x,x')|^2dx'
    [/tex]

    [itex]|\Psi(x,x')|^2[/itex] is the probability density of finding a particle at [itex]x[/itex] and a particle at [itex]x'[/itex]. Does this mean that [itex]\int|\Psi(x,x')|^2dx'[/itex] is the probability density of finding a particle at [itex]x[/itex] ?
     
  2. jcsd
  3. Nov 28, 2009 #2

    alxm

    User Avatar
    Science Advisor

    Yes, the particle density and probability density are the same thing.
     
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