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Help about the exchange energy

  1. Jun 15, 2008 #1

    hi everyone here ,
    i have a problem about the exhange energy .
    IN quantum mechanics, there is a example how to solve eigenvalue and eigenfunction of helium within the framework of perturbation theory .

    when two electrons are in different eigenstates,the first order correction of energy is :E(1)=k+(-)J
    K:coulomb energy
    and J is exhcange energy
    when + : spin anti-parallel
    and -: spin parallel

    and recently i have read about hartree-fock theory ,and found the exchange-energy exists only spin-parallel. Exchange integrals additionally arise if the electrons are of the same spin

    so my problen is why there is inconsistency between them ?
  2. jcsd
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