Change of the adiabatic invariant due to separatrix crossing.
Change of the adiabatic invariant due to separatrix crossing.
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由于分界线交叉导致绝热不变量的变化。
DOI：
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发表时间：
1986
影响因子：
8.6
通讯作者：
D. F. Escande
中科院分区：
文献类型：
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作者：
Jonathan Tennyson;John R. Cary;D. F. Escande
当一个一自由度振子的哈密顿量中的一个参数以速率缓慢变化时，存在一个绝热不变量，它在所有阶上都守恒，除了在穿过分离矩阵的相空间轨道上。本文给出了一类广泛的哈密顿系统的绝热不变量在分离矩阵交叉下的阶变化。这一结果适用于在振幅和频率缓慢变化的静电波影响下运动的带电粒子的特殊情况。
When a parameter in the Hamiltonian of a one-degree-of-freedom oscillator is slowly varied at rate epsilon, an adiabatic invariant exists which is conserved to all orders in epsilon, except on phase-space orbits which cross a separatrix. In the present work, the change in the adiabatic invariant due to a separatrix crossing is given to order epsilon for a wide class of Hamiltonian systems. This result is applied to the special case of a charged particle moving under the influence of an electrostatic wave with slowly varying amplitude and frequency.