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arXiv 1906.02689cond-mat.mes-hall
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在等离子体和扫描探针显微镜中研究几何效应对经典场、量子场和有限及无限延伸粒子本征模的影响

General Approach to Study Geometric Effects on Classical & Quantum Fields & Eigenmodes of Particles with Finite & Infinite Extend for Applications in Plasmonics & Scanning Probe Microscopy

Maryam Bagherian

摘要:

这份手稿提供了一个一般的方法来调查场量子化在高曲率几何。该模型和计算可以帮助理解的弹性和非弹性散射的光子和电子在纳米结构和探针状金属域。结果发现在高分辨率的光子和电子模式的扫描探针显微镜,纳米光学,等离子体,和量子传感的重要应用。准静态配方,导致nonretarded数量,采用和合理的基础上的纳米级,这里的亚波长,尺寸的考虑域的兴趣。在准静态的框架内,纳米结构材料域与频率相关的介电函数。与正常模式的电子系统,nonretarded等离激元色散关系,本征模,和字段的相关性,然后计算在纳米科学和纳米技术中使用的几个几何实体。从模型化的纳米粒子中的电荷密度振荡的经典能量,导出用于量子化的系统的哈密顿量。量子化的等离子体激元场的获得,并采用相互作用的哈密顿量来自一阶微扰理论内的电子气的流体动力学模型,可以得到的等离子体激元的辐射衰减率的解析表达式。所建立的处理方法可以应用于多种几何结构,以研究其边界表面上的量子化电荷密度振荡。

英文摘要:

This manuscript provides a general approach to the investigation of field quantization in high-curvature geometries. The models and calculations can help with understanding the elastic and inelastic scattering of photons and electrons in nanostructures and probe-like metallic domains. The results find important applications in high-resolution photonic and electronic modalities of scanning probe microscopy, nano-optics, plasmonics, and quantum sensing. Quasistatic formulation, leading to nonretarded quantities, is employed and justified on the basis of the nanoscale, here subwavelength, dimensions of the considered domains of interest. Within the quasistatic framework, the nanostructure material domains with frequency-dependent dielectric functions are presented. Quantities associated with the normal modes of the electronic systems, the nonretarded plasmon dispersion relations, eigenmodes, and fields are then calculated for several geometric entities of use in nanoscience and nanotechnology. From the classical energy of the charge density oscillations in the modeled nanoparticle, the Hamiltonian of the system, which is used for quantization, is derived. The quantized plasmon field is obtained and, employing an interaction Hamiltonian derived from the first-order perturbation theory within the hydrodynamic model of the electron gas, an analytical expression for the radiative decay rate of the plasmons could be obtained. The established treatment could be applied to multiple geometries to investigate the quantized charge density oscillations on their bounding surfaces.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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