Scar State on Time-evolving Wavepacket

Scar State on Time-evolving Wavepacket
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时间演化波包上的疤痕状态

DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
E. Heller
E. Heller
中科院分区：
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文献类型：
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作者：
M. Tomiya;Hiroyoshi Tsuyuki;K. Kawamura;S. Sakamoto;E. Heller

文献摘要

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在球场台球运动中，随着时间的推移，波包的积累产生了疤痕状的增强。当波包沿着轨道发射时，它似乎接近不稳定的周期轨道。这种增强本质上是由于平稳本征态中众所周知的疤痕态的相同机制。加权谱函数表明，这种增强是同一周期轨道上疤痕态贡献的叠加。讨论了加权谱对半经典近似的可用性。
The scar-like enhancement is found in the accumulation of the time-evolving wavepacket in stadium billiard. It appears close to unstable periodic orbits, when the wavepackets are launched along the orbits. The enhancement is essentially due to the same mechanism of the well-known scar states in stationary eigenstates. The weighted spectral function reveals that the enhancement is the pileup of contributions from scar states on the same periodic orbit. The availavility of the weighted spectrum to the semiclassical approximation is also disscussed.