OK sorry about that what i mean is that i couldn't find much on the math portion of decoherence only bits that made no sense. what i'm asking is that can someone please explain to me the math behind decoherence (all of it)
The wikipedia page http://en.wikipedia.org/wiki/Quantum_decoherence#Density_matrix_approach goes through the math. However, any mathematical treatment of decoherence comes with a pretty stiff cost of entry: you have to know a fair amount of linear algebra, be comfortable with Dirac's bra-ket notation, and have a solid understanding of basic quantum mechanics.
There are also many different ways to handle decoherence, some will only require the "usual" math in QM (e.g. using a Lindbladian) but there are other approaches which use for example stochastic differential equations which you are less likely to have come across before.
ok thank you this helps. However I want to ask one more thing i'm trying to explain color charge states of quarks with this math do you have any suggestions in a way to do it. or at least push me in the right direction.