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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 | Abstract: | 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. | Source: | arXiv, quant-ph/0108107 | Services: | Forum | Review | PDF | Favorites |
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