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

Transforming BCS state to real space

  1. Aug 16, 2012 #1
    What is the most straightforward way of transforming a BCS type state, [itex]\left| \Phi \right\rangle = \prod(u_k + v_k F^{\dagger}_{k} F^{\dagger}_{-k}) \left| vac \right\rangle[/itex], to real space?

    Would it be valid to transform states of the form

    [itex] F^{\dagger}_k F^{\dagger}_{-k} \longrightarrow a^{\dagger}_{n} a^{\dagger}_{m},~~~~F^{\dagger}_{k_1} F^{\dagger}_{-k_1} F^{\dagger}_{k_2} F^{\dagger}_{-k_2} \longrightarrow a^{\dagger}_{n} a^{\dagger}_{m} a^{\dagger}_{p} a^{\dagger}_{q}, ~~[/itex] etc.,

    separately using multidimensional discrete FT? Is there an easier/more efficient way? Thanks for your help!
  2. jcsd
  3. Aug 16, 2012 #2


    User Avatar
    Science Advisor

  4. Aug 16, 2012 #3
    Thank you, I think this should work.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook