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Nodes of a wavefunction

  1. Jun 2, 2007 #1
    It seems likely- but is it true that the ground state many-body wf must have zero nodes?

    Is there a general rule for the nodes as a fn of quantum numbers?
  2. jcsd
  3. Jun 2, 2007 #2
    There is a general rule that the ground-state eigenfunction of a system must have the least number of modes in that set of eigenfunctions.
  4. Jun 2, 2007 #3
    OK, but then it is possible for the ground state to have a node?
  5. Jun 2, 2007 #4

    Meir Achuz

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    For some peculiar potentials, the ground state could have nodes.
    Some precolor quark models had angular nodes to allow for Fermi statistics.
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