- #1
Sekonda
- 207
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Hey guys,
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
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