I find that forcing myself to be active in something can help in the short term, but I've never been able to fully exorcise it.
The worst thing is that it spreads. For example: work right now is boring as hell and the company is starting to come apart at the seams, so I'm trying to care less about what is going on there. Put in my hours, then come home and live my life. But the problem is that since I'm so susceptible to apathy, I usually just get home and veg out. Can't be arsed to do anything. Caring about work isn't an option, though -- down that path lies madness -- but I'm finding that I really have to force myself to keep moving when I get home, or I'm fucked. Hell, even then it seems hollow and pointless half of the time any way.
But things like that usually seem worse when one's in the thick of it. I know this intellectually, but it's tough to remember it when I need to the most. Get up, get moving, pick up that thing that you (used to) love doing that you've put down, get into a different physical space: find a tree, find some grass, find some sun, find some shade, find some water, find some sky.
Or: fuck it all. That's effort.