Careful with those--they work great, except that the heat sinking is quite a bit less great. The best package runs 22 K/W junction to "case", whatever that means in a plastic-encapsulated package with no power tab. That's quite a bit considering that the chip can dissipate over 40W before thermal shutdown kicks in. (Steady-state thermal transfer calculations would put the die at about 900C with an infinite room-temperature heat sink--a nice bright red-orange glow.)
They run warm to the touch just with their quiescent current.
As a rail splitter, you have to watch out for the chip hitting thermal shutdown, which will probably make one rail collapse. A couple of beefy Zeners on the output would help prevent Joergish noises.
Cheers
Phil Hobbs