It is clearly that we live i chaotic world. As physicists say, chaos waits us everywhere, from the heartbeat to the universe. Unlike of the most problems in classic physic which are nonlinear, equitation of moving of quantum systems (like atoms and molecules) are linear. Since nonlinearity is a condition for the emergence of chaos, the question is: Is there quantum chaos?
Definitely classical chaos is a thing! It is remarkable that you can generate a very complex dynamics with very seemingly simple differential equations, like the celebrated Lorenz system and many more examples. What is even more astounding is the fact that these systems are deterministic.
Quantum chaos on the other hand arises as a tentative to apply the Correspondence Principle. In this regard the aim is to construct a more general theory of chaos that describes classical chaos in the limit h tending to zero.
Probably not completely analogous, but the same idea lurks around regarding the Navier-Stokes equation in classical fluid dynamics. This equation should arise as the classical limit of a quantum version, yet to be found.
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