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    Classical chaotic trajectories exhibit exponential instab... — Carmelics
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    Supports→Semi-classical quantum systems mirror their corresponding classical systems only up to the Ehrenfest time

    Classical chaotic trajectories exhibit exponential instability

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    A Gaussian wave packet centered on a classical trajectory spreads too much over ...By the Ehrenfest time, classical chaotic orbits begin coalescing in increasing n...Semi-classical quantum systems mirror their corresponding classical systems only...

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    The Ehrenfest time is of order ln(2π/h) seconds, reflecting the exponential inst...

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    The Ehrenfest time is of order ln(2π/h) seconds, reflecting the expone...79%Any growth in uncertainties between neighboring trajectories can be fi...73%Detailed predictions of individual trajectories fail rapidly for chaot...72%Density of unstable periodic points in K guarantees an abundance of ap...72%

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    One difference between classical chaotic dynamics and quantum dynamics is that the state space of the former supports fractal structure while the state space of the latter does not. A second difference is that classical chaotic dynamics has a continuous energy spectrum associated with its motion. As previously noted, classical chaos is considered to be a property of bounded macroscopic systems. In comparison, the quantum dynamics in bounded, isolated systems has a discrete energy spectrum associ

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