# Quantum Decoherence math

• Zachary Nichols
In summary, the conversation discusses quantum decoherence and the difficulty in understanding its mathematical aspects. A Wikipedia page and a book are suggested as resources for learning the necessary background in linear algebra and quantum mechanics. Additionally, different approaches to handling decoherence are mentioned, and the conversation ends with a question about explaining color charge states of quarks using this math.

#### Zachary Nichols

I read up on quantum decoherence however the math was not explained clearly can someone explain it to me

What don't you understand about the mathematics, exactly? If you ask a more precise question, people will find it easier to help you!

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.

An alternative, written for someone who hasn't yet learned this background stuff, is https://www.amazon.com/dp/0465067867/?tag=pfamazon01-20

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.