Bazzani Armando, Capoani Federico, Giovannozzi Massimo
Physics and Astronomy Department, <a href="https://ror.org/01111rn36">Bologna University</a> and INFN-Bologna, V. Irnerio 46, 40126 Bologna, Italy.
Beams Department, <a href="https://ror.org/01ggx4157">CERN</a>, Esplanade des Particules 1, 1211 Geneva 23, Switzerland.
Phys Rev E. 2024 May;109(5-1):054212. doi: 10.1103/PhysRevE.109.054212.
In this paper we analyze the adiabatic crossing of a resonance for Hamiltonian systems when a double-resonance condition is satisfied by the linear frequency at an elliptic fixed point. We discuss in detail the phase-space structure on a class of Hamiltonians and area-preserving maps with an elliptic fixed point in the presence of a time-dependent exciter. Various regimes have been identified and carefully studied. This study extends results obtained recently for the trapping and transport phenomena for periodically perturbed Hamiltonian systems, and it could have relevant applications in the adiabatic beam splitting in accelerator physics.
在本文中，我们分析了哈密顿系统在椭圆不动点处线性频率满足双共振条件时共振的绝热交叉。我们详细讨论了一类具有椭圆不动点且存在与时间相关激励器的哈密顿量和保面积映射的相空间结构。已经确定并仔细研究了各种情况。这项研究扩展了最近关于周期性扰动哈密顿系统的俘获和输运现象所获得的结果，并且在加速器物理中的绝热束流分裂方面可能有相关应用。
