Quantum Wigner master equation

[Fabio Hernandez]

I have the quantum master equation:

$$\frac{\partial\rho}{\partial t}=\frac{1}{i \hbar}[H_0,\rho]+\frac{\gamma}{i \hbar}[q,\{p,\rho\}]-\frac{D}{\hbar^2}[q,[q,\rho]]$$

And have to prove that the coordinates representation is like in the book of the link.

I can't undertand how to obtain the terms with th form (x-y), why (x-y)?.

Thanks.

Reference:
https://books.google.com.br/books?i...rmonic oscillator dissipation feynman&f=false

 

[Fabio Hernandez]

I solve it. Thanks.