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arXiv quant-ph/9706014quant-ph
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鞍形疤痕的存在和应用

Saddle scars: Existence and applications

R. Vilela Mendes

摘要:

量子疤痕是一种波函数,它在经典的不稳定周期轨道区域显示出高强度。鞍痕是与势鞍点稳定流形上的不稳定谐运动有关的状态。使用半经典的方法,它表明,独立的整体结构的潜力,鞍点的局部动力学是足够的,以确保这种类型的疤痕和他们的因式分解结构的普遍存在。潜在有用的情况下,这些国家出现(直接或伪装),并可能用于量子控制的目的。

英文摘要:

A quantum scar is a wave function which displays an high intensity in the region of a classical unstable periodic orbit. Saddle scars are states related to the unstable harmonic motions along the stable manifold of a saddle point of the potential. Using a semiclassical method it is shown that, independently of the overall structure of the potential, the local dynamics of the saddle point is sufficient to insure the general existence of this type of scars and their factorized structure is obtained. Potentially useful situations are identified, where these states appear (directly or in disguise) and might be used for quantum control purposes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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