The physical meaning of Fermi coordinates

The physical meaning of Fermi coordinates
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费米坐标的物理意义

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发表时间:
1994
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通讯作者:
K. Marzlin
K. Marzlin
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作者:
K. Marzlin

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费米坐标(FC)被认为是弯曲时空中任意运动观测者的笛卡尔坐标的自然推广。由于它们的构造不可能在整个空间甚至在观察者的整个过去中完成,我们考察哪些构造原则是造成这种效果的原因,以及它们如何被修改。一个修改的建议,并适用于在二维和四维Minkowski空间的观察员与常加速度。二维情形显示出与Kruskal空间惊人的相似之处,这些相似之处推广了Rindler在Kruskal空间和Rindler楔的外部区域发现的相似之处。在微扰方法中,修正也会导致对某些物理系统的不同预测。作为一个例子,我们考虑原子干涉,并推导出偏离费米坐标的标准结果的加速度引起的相移。
Fermi coordinates (FC) are supposed to be the natural extension of Cartesian coordinates for an arbitrary moving observer in curved space-time. Since their construction cannot be done on the whole space or even in the whole past of the observer we examine which construction principles are responsible for this effect and how they may be modified. A proposal for a modification is made and applied to the observer with constant acceleration in the two- and four-dimensional Minkowski space. The two-dimensional case shows some surprising similarities to Kruskal space which generalize those found by Rindler for the outer region of Kruskal space and the Rindler wedge. In perturbational approaches the modification also leads to different predictions for certain physical systems. As an example we consider atomic interferometry and derive the deviation of the acceleration-induced phase shift from the standard result in Fermi coordinates.