论文标题
外部时间相关场中的结构化物质波演化
Structured matter wave evolution in external time-dependent fields
论文作者
论文摘要
在目前的工作中，我们在存在恒定磁场的情况下并在时间依赖性外力的影响下分析了结构化物质波的运动。我们已经引入了基于Heisenberg运动方程的部分微分方程获得的精确传播核。最初的波函数被假定为高斯 - 热波函数。对于进化的波函数，我们已经获得并讨论了密度函数质量框架中心的不确定性，轨道角动量和惯性张量。从物质波的量子干涉量以及非相关量子电子显微镜的角度来看，此处获得的结果比轴向近似等近似方法更重要，更可靠。
In the present work, we have analyzed the motion of a structured matter wave in the presence of a constant magnetic field and under the influence of a time-dependent external force. We have introduced exact propagator kernels obtained from partial differential equations based on the Heisenberg equations of motion. The initial wave function is assumed as a Gauss-Hermite wave function. For the evolved wave function, we have obtained and discussed the uncertainties, orbital angular momentum, and the inertia tensor in the center of mass frame of the density function. From the point of view of the quantum interferometry of matter waves, and also non-relativistic quantum electron microscopy, the results obtained here are important and more reliable than the approximate methods like the axial approximation.
