Can Quantum Decoherence Math Explain Color Charge States of Quarks?

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SUMMARY

The discussion centers on the mathematical foundations of quantum decoherence and its application to understanding color charge states of quarks. Participants emphasize the necessity of a solid grasp of linear algebra and Dirac's bra-ket notation to comprehend the mathematics involved. Resources such as the Wikipedia page on quantum decoherence and the book "Quantum Mechanics: A Modern Development" are recommended for foundational knowledge. Additionally, various mathematical approaches, including the Lindbladian and stochastic differential equations, are highlighted as methods to explore decoherence.

PREREQUISITES
  • Linear algebra proficiency
  • Understanding of Dirac's bra-ket notation
  • Basic knowledge of quantum mechanics
  • Familiarity with stochastic differential equations
NEXT STEPS
  • Study the Wikipedia page on quantum decoherence for foundational math concepts
  • Read "Quantum Mechanics: A Modern Development" for a beginner-friendly introduction
  • Explore the Lindbladian approach to quantum decoherence
  • Research stochastic differential equations and their applications in quantum mechanics
USEFUL FOR

Physicists, quantum mechanics students, and researchers interested in the mathematical aspects of quantum decoherence and its implications for particle physics, particularly in understanding quark color charge states.

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

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