1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Prove that the nth energy level of atom has degeneracy n^2

  1. Oct 27, 2015 #1
    1. The problem statement, all variables and given/known data
    Prove that the nth energy level of an atom has degeneracy equal to n^2.

    2. Relevant equations

    3. The attempt at a solution
    I was thinking of using the sum from n=1 to N of n = N(N+1)/2 but my professor said i needed to change that equation up a bit to be able to show this. I was also thinking about how l is less than or equal to n-1 and ml is less than l so both of those are sort of n's and together they are n squared? Overall a bit confused.
  2. jcsd
  3. Oct 27, 2015 #2


    User Avatar
    2017 Award

    Staff: Mentor

    Something along that line I guess.
    I guess you can use the rules for allowed l and m and don't have to derive them?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted