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Wave function

  1. Oct 13, 2009 #1
    For an N- electron system, how to construct a wave function?
    One wave function for each electron or one wave function for the entire system>
  2. jcsd
  3. Oct 13, 2009 #2
  4. Oct 14, 2009 #3
    A single wavefunction. The same goes for bosons. And this wavefunctions satisfies the "ordinary" schroedinger equation with respect to all the particle positions.

    There is, however, an extra condition you impose: statistics. The wavefunction for electrons has to be an anti-symmetric wavefunction -- this is an extra condition you impose.

    The same goes for bosons: this must be a symmetric wavefunction.
  5. Oct 14, 2009 #4
    I wonder what you mean by the "ordinary" schroedinger equation?
  6. Oct 14, 2009 #5
    Oh, just that it is the multiparticle version, i.e. the Hamiltonian is:

    [tex] H = \sum_i \frac{1}{2m_i} p_i^2 +V(\lbrace x_i\rbrace)[/tex]

    where i runs over all the particles.
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