content_image/358321.jpg content_image/358322.jpg content_image/358323.jpg content_image/358324.jpg content_image/358325.jpg content_image/358326.jpg content_image/358327.jpg content_image/358328.jpg content_image/358329.jpg content_image/358330.jpg
At this stage, we leave the general formulation and adopt the particular choice of K$_{1}$ , K$_{2}$ , G$_{1}$ , and G$_{2}$ given in Eq. (20). The antisymmetric BKNH tensor becomes 

<img src='content_image/358321.jpg'>

and the Hamiltonian simplifies to 

<img src='content_image/358322.jpg'>

The split Liouville operators are now 

<img src='content_image/358323.jpg'>

<img src='content_image/358324.jpg'>

<img src='content_image/358325.jpg'>

<img src='content_image/358326.jpg'>

<img src='content_image/358327.jpg'>

<img src='content_image/358328.jpg'>

<img src='content_image/358329.jpg'>

<img src='content_image/358330.jpg'>

For the purposes of defining an efficient integration algorithm, we combine commuting Li- 

