Harmonic oscillator, average value coordinates

Next, first consider the average value of the coordinate of a quantum harmonic oscillator performed on a coherent state,... 

Now, consider the normalized density operator pa of a system of equivalent quantum harmonic oscillators embedded in a thermal bath at temperature T owing to the fact that the average values of the Hamiltonian //, of the coordinate Q and of the conjugate momentum P, of these oscillators (with [Q, P] = ih) are known. The equations governing the statistical entropy S,... 

---