Nodes of a wavefunction

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*

Quote by 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?

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

Quote by 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.

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.

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christianjb	Nodes of a wavefunction 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?

Meir Achuz Recognitions: Homework Help Science Advisor	Nodes of a wavefunction For some peculiar potentials, the ground state could have nodes. Some precolor quark models had angular nodes to allow for Fermi statistics.