1. The problem statement, all variables and given/known data How are the number of intermediate radial nodes in a bound state wave function related to the degree of excitation? 2. Relevant equations N/A 3. 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.