Anomalous Decay of Unstable State and Wave Propagation in the Friedrichs Model Consisting of a Discrete State and the Fibonacci Lattice(General and Mathamatical Physics)
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概要
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The decay of an unstable state in the weakly coupled Friedrichs model, consisting of a discrete state and the Fibonacci lattice, is investigated numerically. The survival probability is shown to satisfy a scaling property and to be well described by the Mittag-Leffler function. As the discrete state decays, waves are emitted and propagate along the Fibonacci lattice. When the survival probability decays monotonically, the Husimi representation of the emitted wave is found to be localized in the momentum direction in spite of the fact that the momentum is not a good quantum number for the Fibonacci lattice. Moreover, depending on the behavior of the survival probability, transient trapping of the wave packets and the formation of localized waves are also observed in the Husimi representation.
- 理論物理学刊行会の論文
- 2009-11-25
著者
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TASAKI Shuichi
Department of Applied Physics, Waseda University
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Tasaki Shuichi
Department Of Applied Physics School Of Science And Engineering Waseda University
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FUJIYOSHI Masato
Department of Applied Physics, Waseda University
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Fujiyoshi Masato
Department Of Applied Physics Waseda University
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