Support Sprint phone on T-Mobile network

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http://androidforums.com – So, I'm probably going to expose my ignorance, but I really don't have a problem with that :) I have a friend that went and got the new iPhone 5 and is looking to get rid of his SGS III. I'd be interested in buying it, but he uses Sprint and I'm on T-Mo. So, even if I were able to get the phone unlocked would it even be technically possible to use this Sprint phone on the T-Mo network? I know there are different "implementations" of 4G so that would be the limiting factor I would think. :confused: Thanks in advance to anyone that might help :) (General)