Weight of N 3-Dimensional Quantum Harmonic Oscillators

1. Feb 23, 2012

Sekonda

Hey guys,

The question gives us N 3-Dimensional Quantum Harmonic Oscillators with :

E=ƩE(i)=Ʃ(n(i)+0.5)(h-bar)w

Where h-bar is the reduced plancks constant, w is the angular frequency, and the sum takes place over i=1 to i=3N, and (i) is subscript!

Now I believe the microstates of this problem are given by 'n' which are the non negative integers which correspond to the excitement level of the individual oscillators.

I have the total number of microstates to be L=(E/((h-bar)w))-(3N/2), which you can see from the above equation by some rearranging.

I'm not sure how I work out how many macrostates I have, I have to show that the weight is given by : ((3N-1)+L) choose L

I'm not sure where to start,
Sorry if my description of the problem is incomprehensible

Thanks,
S

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