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    Home/Original/inverse
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    Inverse View

    It is not the case that Semi-classical quantum systems mirror their corresponding classical systems only up to the Ehrenfest time

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    Reasons For

    2 perspectives
    Reason for 1 of 2
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    • 1.Zurek, Habib, and Paz (1993) demonstrated that environmental decoherence suppresses quantum interference on timescales far shorter than Ehrenfest time, restoring classical behavior.
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    • 2.If decoherence reproduces classical statistics before Ehrenfest breakdown occurs, the Ehrenfest time marks no privileged boundary between quantum and classical regimes.
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    • 3.The claim conflates the failure of a specific approximation scheme with a deeper physical limit on quantum-classical correspondence itself.
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    Reason for 2 of 2
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    • 1.Berry and Keating's work on periodic orbit theory shows quantum systems retain classically meaningful spectral structure well beyond the Ehrenfest timescale via the Heisenberg time.
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    • 2.The claim incorrectly generalizes from the breakdown of Gaussian wave-packet spreading to all forms of quantum-classical mirroring, excluding phase-space and spectral correspondences that persist longer.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Classical chaotic trajectories exhibit exponential instability
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    • 2.The Ehrenfest time is of order ln(2π/h) seconds, reflecting the exponential instability of classical chaotic trajectories
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    • 3.By the Ehrenfest time, classical chaotic orbits begin coalescing in increasing numbers, causing the semi-classical approximation to fail
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