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首页> 外文期刊>The journal of physical chemistry, A. Molecules, spectroscopy, kinetics, environment, & general theory >Fingerprints of a Classical Resonance on the Eigenlevel Dynamics of the Corresponding Quantum Hamiltonian
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Fingerprints of a Classical Resonance on the Eigenlevel Dynamics of the Corresponding Quantum Hamiltonian

机译：经典共振在相应量子哈密顿量本征能级上的指纹

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摘要

The dynamics of the energy eigenvalues of a single resonance, two-mode quantum Hamiltonian with varying resonance coupling is studied. The resonant quantum states are linked to straight-Iine parametric level motion in the level dynamics. On the basis of the analogy to the periodic orbit scarring of eigenstates giving rise to linear parametric level motion, we suggest that the resonant states give rise to such soliton-like features in ,) the level dynamics. As a result, resonant states for a given polyad constitute a solitonic "fan" structure , manifesting throughout the energy regime. Isomorphic fans, at specific polyad intervals, are identified for which the level velocities of the corresponding states are related by a translation along the classical resonance " line. An analysis of the level velocities for isomorphic states indicates that the level velocities of a m:n resonant state beyond a certain critical coupling strength scale with the polyad p as p
机译：研究了具有不同共振耦合的单共振，双模量子哈密顿量的能量本征值的动力学。共振量子态与水平动力学中的正弦参量水平运动相关。根据本征态周期性轨道疤痕产生线性参量水平运动的类比，我们建议共振态在水平动力学中产生此类孤子状特征。结果，给定双元共聚物的共振态构成了孤子“扇”结构，并在整个能量范围内表现出来。通过沿经典“共振”线的平移，确定了在特定双元组间隔的同构扇形，与之对应的相应状态的水平速度通过“经典共振”线的平移而关联。对同构状态的水平速度的分析表明，am：n共振的水平速度在I：I共振系统上的数值研究证实了预期的标度，并提出了（P -2v）作为状态IP的渐近速度; v），其中v是状态的激发程度，风扇结构在附加另一个独立共振的情况下的持久性导致可能通过独立共振的疤痕来理解和分配高激发态。

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