On Quantum - Classical Correspondence for Baker’s Map
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چکیده
Quantum baker‘s map is a model of chaotic system. We study quantum dynamics for the quantum baker’s map. We use the Schack and Caves symbolic description of the quantum baker‘s map. We find an exact expression for the expectation value of the time dependent position operator. A relation between quantum and classical trajectories is investigated. Breakdown of the quantum-classical correspondence at the logarithmic timescale is rigorously established.
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تاریخ انتشار 2001