Let's say the gamma radiation allows him to absorb, process, and use ambient gamma radiation in such a way to increase his strength. So any excess radiation from the sun, Banner soaks it in, and when his adrenaline gets pumping, that acts as a catalyst, putting that gamma to use, increasing his musculature, and changing his color to accommodate. Due to his mental issues, this other version of himself has an entirely different mind, the Hulk.
And AS the Hulk, in his altered form, his energy absorption is far more efficient, as are his adrenal glands, increasing more and more as stress increases. The angrier he gets, the more adrenaline is put out into his system. The more adrenaline is put into his system, the more energy is catalyzed into strength.
So he can go all 'SMASH YOU!' because he's effectively a self fueling engine of destruction.
When Hulk's all tuckered out, and as his adrenaline wears off (such as during sleep or prolonged periods without stress/physical activity), all that mass/energy burns up without adrenaline catalyzing it, effectively 'decaying' back to default Banner.
... Yeah, I've got no idea what I'm talking about.
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