Hey guys,(adsbygoogle = window.adsbygoogle || []).push({});

For a particular problem I have to determine the total degeneracy across N 3-D Quantum Harmonic oscillators.

Given that the degree of degeneracy for a 3-D harmonic oscillator is given by:

(n+1)(n+2)/2

and the Total energy of N 3d quantum harmonic oscillators is given by the sum of E(i) from i=1 to 3N, or the sum of ((n(i)+0.5))*(hbar)w.

I think I need to sum the degeneracy equation from n(i) i=1 to 3N to find the total number of degeneracies but I'm not sure what sum this reduces to!

Thanks,

Tom

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Finding degeneracy of N Quantum Harmonic Oscillator

**Physics Forums | Science Articles, Homework Help, Discussion**