(adsbygoogle = window.adsbygoogle || []).push({}); How to take this sum???

I'm getting this sum in the statistical mechanics for the rotating energy, any one can help with?

[tex]

Z_r = \sum\limits_{\ell = 0}^\infty {\left( {2\ell + 1} \right)e^{{\textstyle{{T_r } \over T}}\ell \left( {\ell + 1} \right)} }

[/tex]

If tex doesn't work here is it, Where the sum is from 0 to infinity

Z=Sum[(2L+1)exp(-x L(L+1))]

Seems simple lol !!

Thanks

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

Dismiss Notice

Join Physics Forums Today!

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

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

# How to take this sum?

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