Radial Nodes and Degree of Exitation

[atomicpedals]

Homework Statement

How are the number of intermediate radial nodes in a bound state wave function related to the degree of excitation?

Homework Equations

N/A

The Attempt at a Solution

Here's what I've come up with; however I think I'm missing something or perhaps not being precise enough:

If one arranges the eigenstates in the order of increasing energies, the eigenfunctions likewise fall in the order of increasing number of nodes; the nth eigenfunction has (n-1) nodes between each of which the following eigenfunctions all have at least one node. Increased number of nodes relates to an increase in the degree of excitation.

 

[Mike Pemulis]

Sounds good to me.

 

[atomicpedals]

Thanks!