坐标变换与物质波隐身
Coordinate transformations and matter waves cloaking
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中文总结 AI 辅助
采用坐标变换方法，基于位置相关质量张量和势的薛定谔方程的协变形式，研究得到不同形状电子波隐身衣的质量张量和势的精确空间形式。
中文摘要 AI 辅助
变换方法是控制材料内部波传播的有效工具。本文采用坐标变换方法，研究电子波传播的球形、圆柱形和椭球形结构的隐身衣。该研究的物理基础是，带有位置相关质量张量和势的薛定谔方程具有遵循坐标变换的协变形式。利用该技术，我们得到了多种不同形状隐身衣的质量张量和势的精确空间形式。
英文摘要
Transformation method provides an efficient tool to control wave propagation inside the materials. Using the coordinate transformation approach, we study invisibility cloaks with sphere, cylinder and ellipsoid structures for electronic waves propagation. The underlying physics behind this investigation is the fact that the Schrödinger equation with position-dependent mass tensor and potentials has a covariant form that follows the coordinate transformation. Using this technique we obtain the exact spatial form of the mass tensor and potentials for a variety of cloaks with different shapes.
