半空间组态中的集体自由电子激发
Collective Free Electron Excitations in Half-Space Configuration
摘要：
目前的研究提出了一个创新的半空间等离子体激元激发模型的电子气的任意简并在周围的果冻状的积极背景。利用线性化的薛定谔-泊松方程组，导出了有效耦合赝力和阻尼赝力的二阶微分方程组，计算了电子几率密度和静电势能等态函数，构造了合适的半空间平衡等离子体激元激发波函数。半空间有限温度电子等离子体激元的电流模型揭示了许多有趣的功能不存在于以前的研究。该模型考虑了非磁化任意简并电子气中单个电子与其集体实体之间的详细静电相互作用，有利于量子等离子体激元激发的双长度尺度特性。这些长度尺度的相互作用被注意到，导致在气体中形成定义良好的微型周期性密度条纹，这些密度条纹被调制在包络密度图案上，并导致在系统的物理结皮边界前存在电子晕。在强掺杂n型半导体和金属表面的参量密度-温度区的边界前形成了一种新的吸引的Lennard-Jones型势能。后一种效应可以很好地解释真空中平行金属板间的Casimir-Polder型力。
英文摘要：
Current research presents an innovative model of half-space plasmon excitations for electron gas of arbitrary degeneracy in an ambient jellium-like positive background . The linearized Schrödinger-Poisson system is used to derive effective coupled pseudoforce and damped pseudoforce system of second-order differential equations from which the state functions such as the electron probability density and electrostatic potential energy are calculated and the appropriate half-space equilibrium plasmon excitation wave-functions are constructed. Current model of half-space finite temperature electron plasmon reveals many interesting features not present in previous studies. This model benefits a dual length scale character of quantum plasmon excitations taking into account the detailed electrostatic interactions between single electrons and their collective entity in an unmagnetized arbitrary degeneracy electron gas. The interaction of these length scales is remarked to lead to the formation of well defined miniature periodic density fringes in the gas which are modulated over the envelop density pattern and causes the presence of an electron halo in front of the physical jellium boundary of the system. A novel attractive Lennard-Jones-like potential energy forms in front of the boundary for parametric density-temperature region relevant to the strongly doped N-type semiconductors as well as metallic surfaces. The later effect may appropriately explain the Casimir-Polder-like forces between parallel metallic plates in vacuum.
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