标题： 圆偏振引力波与静态磁场中的带电粒子的相互作用 显示英文标题

标题： Interaction of a circularly polarised gravitational wave with a charged particle in a static magnetic background

摘要： 带电粒子在静态磁场背景中的相互作用，即具有圆偏振引力波(GW)的兰道系统，在长波长和低速度极限下被量子力学地研究。我们按照\cite{speli}对经典哈密顿量进行量子化。圆偏振引力波的旋转偏振矢量被用来形成一个独特的方向三元组，作为坐标轴。该系统的薛定谔方程被转化为一组耦合的线性微分方程。该系统通过迭代技术求解。我们计算了粒子位置和动量期望值的时间演化。结果表明，之前通过系统经典处理得到的共振行为\cite{emgw_classical}不仅对于线偏振引力波\cite{emgw_1_lin}有量子对应物，对于圆偏振引力波也是如此。 显示英文摘要

摘要： Interaction of a charged particle in a static magnetic background, i.e., a Landau system with circularly polarised gravitational wave (GW) is studied quantum mechanically in the long wavelength and low velocity limit. We quantize the classical Hamiltonian following \cite{speli}. The rotating polarization vectors of the circularly polarized GW are employed to form a unique directional triad which served as the coordinate axes. The Schrodinger equations for the system are cast in the form of a set of coupled linear differential equations. This system is solved by iterative technique. We compute the time-evolution of the position and momentum expectation values of the particle. The results show that the resonance behaviour obtained earlier\cite{emgw_classical} by classical treatements of the system has a quantum analogue not only for the linearly polarized GW \cite{emgw_1_lin}, but for circularly polarized GW as well.