For chaos to manifest itself you need at least two things. First, the equations of the dynamical system have to be nonlinear. Second, the dimensionality of the

For chaos to manifest itself you need at least two things. First, the equations of the dynamical system have to be nonlinear. Second, the dimensionality of the systems has to be greater than 3. In quantum mechanics, all the equations are linear, so there is no place for chaos in a strict mathematical sense.