CO2中的经典和量子力学平面开关
Classical and quantum mechanical plane switching in CO2
摘要：
经典的平面开关发生在具有明显的1：2共振的系统中，其中具有最低频率的自由度是双退化的。在适当的条件下，人们可以观察到双简并运动发生的平面的周期性和突然的进动。在这篇文章中，我们表明，量子平面开关存在于CO2：基于我们的经典的Hamilton运动方程的解析解，我们描述的依赖于振动角动量和能量的开关的频率和平面开关角。使用这些结果，我们找到最佳的初始波包条件CO2和显示，通过量子力学传播，这样的波包确实显示平面开关在能量约10000 cm-1以上的基态的时间尺度约100 fs。
英文摘要：
Classical plane switching takes place in systems with a pronounced 1:2 resonance, where the degree of freedom with lowest frequency is doubly-degenerate. Under appropriate conditions, one observes a periodic and abrupt precession of the plane in which the doubly-degenerate motion takes place. In this article, we show that quantum plane switching exists in CO2 : Based on our analytical solutions of the classical Hamilton's equations of motion, we describe the dependence on vibrational angular momentum and energy of the frequency of switches and the plane switching angle. Using these results, we find optimal initial wave packet conditions for CO2 and show, through quantum mechanical propagation, that such a wave packet indeed displays plane switching at energies around 10000 cm-1 above the ground state on time scales of about 100 fs.
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