三维欧氏空间中曲面上质点的几何影响
Geometric influences of a particle confined to a curved surface embedded in three-dimensional Euclidean space
摘要：
在薄层量子化方法的精神，我们给出了一个粒子的几何影响的公式被限制在一个曲面嵌入在三维欧几里德空间。几何贡献可以由依赖于法向变量的作用函数与法向导数之间的约化对易关系产生。根据这个公式，我们得到了几何势、几何动量、几何轨道角动量、几何线性Rashba和立方Dresselhaus自旋轨道耦合。作为一个例子，被认为是一个截锥表面。我们发现几何轨道角动量可以为自旋提供方位极化，并且几何Dresselhaus自旋轨道耦合的符号可以通过母线倾角翻转.
英文摘要：
In the spirit of the thin-layer quantization approach, we give the formula of the geometric influences of a particle confined to a curved surface embedded in three-dimensional Euclidean space. The geometric contributions can result from the reduced commutation relation between the acted function depending on normal variable and the normal derivative. According to the formula, we obtain the geometric potential, geometric momentum, geometric orbital angular momentum, geometric linear Rashba and cubic Dresselhaus spin-orbit couplings. As an example, a truncated cone surface is considered. We find that the geometric orbital angular momentum can provide an azimuthal polarization for spin, and the sign of the geometric Dresselhaus spin-orbit coupling can be flipped through the inclination angle of generatrix.
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。
