
There are many, many, many operations occurring in the brain/body/universe. So much so, that we are discovering more all the time. However, there is plenty of evidence that all this is, in fact, chemical. Why? Cause it deals with matter, of course! We have all ready identified chemicals that make us tired, happy, drunk, depressed, etc. and how various interactions with stimuli will instigate a biochemical pathway that releases or suppresses chemical production (for example, in the dark or absent of light, the body will produce Melatonin which will cause the body to grow tired. This same chemical production will be hindered by the presence of light.)
Anyway, back to the original point: a lot of chemistry is driven by the movement of electrons. The movement of electrons is best described through quantum wave functions. Ergo, saying that something is "chemical" does not rule out a quantum mechanical process.