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    In models where preferred states are coherent states, the... — Carmelics
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    Home/Consciousness & Mind
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    Supports→The trajectories of individual components in environmental decoherence models approximate Newtonian trajectories surprisingly well.

    In models where preferred states are coherent states, the master equation for the reduced state of the system can be compared with the evolution of a classical Liouville distribution.

    CausationConsciousness & Mind
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    Consciousness & MindCausation

    Key Terms

    Classical physics(as used in philosophy of science)
    The traditional physics developed by Newton and others that describes how everyday objects move and interact—the physics that works well for things you can see and touch, but fails at the quantum (atomic) level.
    Liouville distribution(as used in classical mechanics and statistical physics)
    A mathematical tool from classical physics that describes how systems change over time by tracking probabilities of different states—named after physicist Joseph Liouville.

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    Browse more in Consciousness & Mind
    Related propositions within the same area of thought.
    Master equation(as used in quantum mechanics and thermodynamics)
    A mathematical equation that describes how a system changes over time by tracking all the ways it can evolve, often used in physics to simplify complex systems.
    Quantum mechanics(the scientific framework being discussed)
    The science of how the tiniest things in the universe (atoms, electrons, photons) behave—which turns out to work very differently than everyday objects.
    coherent states(Quantum mechanics and environmental decoherence)
    A class of preferred states in environmental decoherence models, characterized by being narrow wave packets in both position and momentum.
    reduced state(Environmental decoherence)
    The state of a system obtained by tracing out environmental degrees of freedom, described by a master equation in decoherence models.

    Related

    The trajectories of individual components in environmental decoherence models ap...This comparison suggests that individual component trajectories approximate corr...

    Similar

    Preferred coherent states tend to get least entangled with the environ...79%Preferred coherent states follow the Schrödinger equation more or less...78%In environmental decoherence models with coherent preferred states, th...74%Nonseparable classical systems are the kinds of systems where chaotic ...70%

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    SEP: qm-decoherence
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    In a number of models of environmental decoherence, however, it is obvious what the dynamical behaviour should be even at the level of individual components. Specifically, in models where the preferred states are coherent states, comparison of the master equation for the reduced state of the system with the evolution of a classical Liouville distribution suggests that the trajectories of individual components in fact approximate surprisingly well the corresponding Newtonian trajectories. Intuiti

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