Gaussian Dynamics is Classical Dynamics

摘要: A direct comparison of quantum and classical dynamical systems can be accomplished through the use distribution functions. This is useful for both fundamental investigations such as nature quantum-classical transition well applications feedback control. By affording a clear separation between kinematical effects, Wigner particularly valuable in this regard. Here we discuss some consequences fact that when closed-system dynamics are treated Gaussian approximation, they identical. Thus, it follows several results so-called `semiquantum' chaos actually arise from approximating classical, not dynamics. (Similarly, opposing claims suppression also suspect.) As simple byproduct analysis able to show how Lyapunov exponent appears language phase space distributions way clearly underlines difference situations. We informally aspects approximations go beyond issue nonlinear corrections become important compared corrections.