# Books on Liouville Operator

I am looking for a good book doing classical mechanics and statistical mechanics in terms of the Liouville operator. I have not found a lot on this subject and even books like Mathematical Methods of Classical Mechanics by V. l. Arnold don't seem to cover it. Especially the definition of the operator without the imaginary unit so just

$$L \Gamma = \{H,\Gamma\}$$

seems to be rare.

Really good online sources would be equally appreciated. If I don't have too mathematically versed to understand it, that would be nice as well.

• Oh man I took a look at it it is really hard to gauge what is even going on for me since i really don't know any of the prerequisites. They proove that $iL$ is a generator for a transformation and thus i think its self adjointness follows. I really have no idea how that works... Still thanks for the Tip. May 13, 2015 at 14:25