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CONTINUOUS VS DISCRETE PROCESSES: THE PROBABILISTIC EVOLUTION OF SINGLE TRAPPED IONS

McCall, Storrs and Whitaker, Andrew and George, Glyn (2000) CONTINUOUS VS DISCRETE PROCESSES: THE PROBABILISTIC EVOLUTION OF SINGLE TRAPPED IONS. [Preprint]

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    Abstract

    The evolution of a single trapped ion exhibiting intermittent fluorescence and dark periods may be described either as a continuous process, using differential rate equations, or discretely, as a Markov process. The latter models the atom as making instantaneous transitions from one energy eigenstate to another, and is open to the objection that superpositions of energy states will form which are not covered by the Markov process. The superposition objection is replied to, and two new mathematical elements, Markov vectors and Markov matrices, are proposed as additions to quantum theory. The paper concludes by attributing the cause of dark periods in the ion's history to instantaneous transitions in the ion itself, rather than to photon detection or other components of measurement.


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    Item Type: Preprint
    Keywords: quantum evolution, atomic transitions, continuity vs discretness, Markov processes
    Subjects: Specific Sciences > Physics > Quantum Mechanics
    Depositing User: Storrs McCall
    Date Deposited: 04 Jan 2002
    Last Modified: 07 Oct 2010 11:10
    Item ID: 521
    URI: http://philsci-archive.pitt.edu/id/eprint/521

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