电磁涡旋对回旋/朗道轨道的钉扎和输运
Pinning and transport of cyclotron/Landau orbits by electromagnetic vortices
摘要：
具有相位缺陷的电磁波以涡旋线的形式与恒定磁场相结合，被示出为在涡旋的位置处钉扎带电粒子的回旋轨道（量子力学设置中的朗道轨道）。这种效应在经典理论中表现为轨道的捕获，在量子理论中表现为局域波函数的高斯形状。解析解的洛伦兹方程在经典的情况下和薛定谔或狄拉克方程在量子的情况下展出，给出精确的标准定位的轨道。存在一个参数范围，其中局部化被参数共振破坏。轨道的固定允许它们的受控定位-它们可以通过涡线的运动来运输。
英文摘要：
Electromagnetic waves with phase defects in the form of vortex lines combined with a constant magnetic field are shown to pin down cyclotron orbits (Landau orbits in the quantum mechanical setting) of charged particles at the location of the vortex. This effect manifests itself in classical theory as a trapping of trajectories and in quantum theory as a Gaussian shape of the localized wave functions. Analytic solutions of the Lorentz equation in the classical case and of the Schrödinger or Dirac equations in the quantum case are exhibited that give precise criteria for the localization of the orbits. There is a range of parameters where the localization is destroyed by the parametric resonance. Pinning of orbits allows for their controlled positioning -- they can be transported by the motion of the vortex lines.
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。
