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Radial Nodes and Degree of Exitation

  1. Aug 6, 2011 #1
    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


    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.
  2. jcsd
  3. Aug 7, 2011 #2
    Sounds good to me.
  4. Aug 7, 2011 #3
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