Nodes of a wavefunction

1. Jun 2, 2007

christianjb

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. Jun 2, 2007

Surrealist

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.

3. Jun 2, 2007

christianjb

OK, but then it is possible for the ground state to have a node?

4. Jun 2, 2007

Meir Achuz

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