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arXiv 2205.04498quant-ph
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外时变场中的结构化物质波演化

Structured matter wave evolution in external time-dependent fields

Shohre Janjan, Fardin Kheirandish

AI总结:

本研究针对恒定磁场与时变外力下的结构化物质波运动,基于海森堡运动方程推导精确传播子核,分析高斯-厄米初始波演化后的相关物理量,结果对物质波干涉和量子电镜领域更可靠且具重要意义。

摘要:

本研究分析了恒定磁场及时变外力作用下结构化物质波的运动。我们基于海森堡运动方程,从偏微分方程推导出了精确的传播子核。假设初始波函数为高斯-厄米(Gauss-Hermite)波函数。对于演化后的波函数,我们得到并讨论了密度函数质心系中的不确定度、轨道角动量以及惯性张量。从物质波量子干涉测量以及非相对论量子电子显微镜的角度来看,本文所得结果十分重要,且比轴向近似等近似方法更为可靠。

英文摘要:

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.

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。

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