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25 April 2024
 
  » arxiv » quant-ph/0108107

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On Quantum - Classical Correspondence for Baker's Map
K. Inoue ; M. Ohya ; I.V. Volovich ;
Date 23 Aug 2001
Subject Quantum Physics; Mathematical Physics | quant-ph hep-th math-ph math.MP
AbstractQuantum 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.
Source arXiv, quant-ph/0108107
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