论文标题
等离子体振荡和de Broglie的物质波不稳定性
Plasmon Oscillations and de Broglie's Matter Waves Instabilities
论文作者
论文摘要
在这项研究中，我们研究了物质波不稳定性对电子束传输的影响，并具有任意程度的退化。 Schrödinger-Poisson系统的特定解决方案用于以恒定速度对电子束传输进行建模。结果表明，这种电子梁是通过耦合驱动的伪型系统解决方案来描述的，该解决方案导致具有双波粒子特性的等离子体激发。发现基本的量子机械de Broglie关系是由于粒子样等离激元激发分支与电子束漂移的共鸣相互作用所致。我们进一步获得了Broglie波颗粒关系的广义双长度，通过该关系在该模型中研究了各种光束 - 平面的不稳定性。详细讨论了量子电荷筛选和化学潜在对物质波的形成和不稳定性的影响，并在当前的量子流体动力学模型中重新探讨了众所周知的Aharonov-Bohm效应。当前的研究可能进一步阐明了量子力学中马波的起源，并导致对新型波颗粒相互作用的清晰了解。
In this research we study the effect of matter-wave instability on electron beam transport with arbitrary degree of degeneracy. Particular class of solutions of the Schrödinger-Poisson system is used to model the electron-beam transport at constant speed. It is shown that such electron-beam is described by a coupled driven pseudoforce system solution of which leads to plasmon excitations with dual wave-particle character. The fundamental quantum mechanical de Broglie relation is found to be due to the resonant interaction of particle-like plasmon excitation branch with the electron beam drift. We further obtain a generalized double lengthscale de Broglie wave-particle relation through which various beam-plasmon instability is studied in this model. The quantum charge screening and the chemical potential effects on the matter-wave formation and instabilities are discussed in detail and the well-known Aharonov-Bohm effect is revisited in current quantum hydrodynamic model. Current research may further illuminate the origin of matter-wave in quantum mechanics and lead to clear understanding of novel wave-particle interactions.
