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Quasiresonance:Switching Internal Energy Transfer On and Off

机译:准谐振:打开和关闭内部能量传输

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摘要

Quasiresonance involves a slow "external" switching on and off of an interaction between internal degrees of freedom described by action-angle variables having approximate resonances.The resonances or near-resonances spawn slow coordinates that fail to be adiabatic,but the remaining coordinates may be fast enough to have conserved actions.The interaction either can be imposed externally as a time dependent coupling or can arise autonomously due to interactions with other degrees of freedom.A resonance transformation into slow and fast angles reveals the action corresponding to the fast angle is adiabatic and conserved to very high accuracy.This paper extends our work on quasiresonance to new systems and regimes,including the He-H_2 system,collisions with a periodic lattice,perturbative interactions,and discussion of quasiresonance in higher dimensional systems.
机译:准共振涉及内部自由度之间相互作用的缓慢“外部”打开和关闭,该内部自由度由具有近似共振的动作角变量描述。共振或近共振产生无法绝热的慢坐标,但其余坐标可能是速度足够快以具有保守的作用。这种相互作用既可以在外部作为与时间有关的耦合而施加,也可以由于与其他自由度的相互作用而自主地发生。共振转换为慢和快角度表明,与快角度相对应的作用是绝热的。本文将准共振的工作扩展到新的系统和体系,包括He-H_2系统,与周期性晶格的碰撞,微扰相互作用以及对高维系统中的准共振的讨论。

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