Missing $\beta$ in equation Debye model

Hi! In the Debye model lecture notes, the equation for the expectation of energy (total energy) is given, just below the equation for the dispersion relation. In the equation, however, the n_B (\hbar \omega) -term should be n_B (\beta \hbar \omega). The equation right afterwards does state the term, and so does the book on page 11.

Cheers!

thanks for noting! I changed it now, should be up in a few minutes