Abstract
一般化的電磁波 -- 帶電粒子交互作用罕米爾吞構式予以建立， 其中考慮了多個傾斜外加均勻靜磁場傳播的混合電磁波與靜電波。 無限制粒子加速機制將予解釋， 並證實相對論效應扮演了關鍵性的角色，它決定了罕米爾吞曲面的拓樸結構。 而偶發退化及本質退化的情形在此都完全的討論到。 基於重疊條件得出的隨機界限給定為Wb>1/4(相對論迴旋頻律)，其中著重於本質退化的研究，播夾角；特別是廣為人知的自我共振美射機制將證明為本質退化的特例。最後，提出一個應用本質退化於二波提昇加速機制，許多數值的結果也將給出。A general relativistic Hamiltonian formalism is establishedincluding the consideration of several mixture electromagneticand electrostatic waves propagating obliquely to an external,uniform, static magnetic field. The mechanism of unlimitedparticle aceleration is explained and relativistic effect isproved to play a crucial role, which determins the topology ofHamiltonian surface. Both accidentally and intrinsicallydegenerate cases are thoroughly considered. The stochasticitythreshold based on overlap criterion is given. An emphasis oninstrinsic degeneracy is discussed. Especially, the well-knowautoresonance mechanism is shown to be a special case ofintrinsic degeneracy. Finally, an application of intrinsicdegeneracy to a novel enhanced acceleration mechanism in twowaves is asserted and several numerical results are present.