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Chaos theory is the study of systems that are highly sensitive to slight, even imperceptible changes in initial conditions. This is popularly known as the butterfly effect. Many natural systems exhibit chaotic behavior, including weather and electron orbitals.
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How does non-linear behaviour arise from the inherently linear QM framework?
I'd rather answer your question with my question. Classical electrodynamics with Maxwell equations is a linear theory. Yet, there are plenty effects there where we see non-linearity. Non-linearity com …