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Density matrix in Momentum Space

  1. Apr 14, 2013 #1
    I have an one-body density matrix in a Sine wave basis set (Thus psi = psi*). Unfortunately, these are not the natural orbitals (I have correlated particles), so I have off-diagonal elements. I believe I know how to extract the charge density from this density matrix

    [itex]\rho(x;x') = \sum_{ij} c_{ij}\psi_i(x)\psi_j(x')[/itex]

    Where x' = x. Can I do something similar to extract a "momentum density"?

    [itex]\rho(k;k') = \sum_{ij} c_{ij}\psi_i(k)\psi_j(k')[/itex]


    Where k' = k?

    Thanks
     
  2. jcsd
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