静磁背景中圆极化引力波与带电粒子的相互作用
Interaction of a circularly polarised gravitational wave with a charged particle in a static magnetic background
摘要：
带电粒子在静磁背景中的相互作用，即，在长波低速极限下，对圆极化引力波（GW）朗道系统进行了量子力学研究。我们利用\cite{speli}证明了经典的哈密顿量。圆极化GW的旋转极化矢量被用来形成作为坐标轴的唯一的定向三元组。系统的薛定谔方程被转换成一组耦合的线性微分方程。该方程组用迭代法求解。我们计算粒子的位置和动量期望值的时间演化。结果表明，用经典方法计算\cite{emgw_classical}得到的共振行为不仅对线极化GW \cite{emgw_1_lin}有量子模拟，而且对圆极化GW也有量子模拟.
英文摘要：
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.
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