Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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?

  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted