Do Quantum Numbers Determine the Node Structure of Wavefunctions?

[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?

 

[Surrealist]

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?

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.

 

[christianjb]

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.

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

 

[Meir Achuz]

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