AI 中文总结
该研究探讨缓慢旋转无限薄圆柱壳的引力阿哈罗诺夫-玻姆效应，发现壳内非零引力磁场可影响壳外粒子干涉，为阿哈罗诺夫-玻姆效应的引力类比提供理论依据。
AI 中文摘要
我们利用引力源诱导的时空度规，研究两条包含缓慢旋转、无限长且无限薄圆柱壳的路径的量子干涉。结果表明，尽管圆柱壳的旋转不会对在其外部传播的粒子的经典运动产生贡献，但它会影响干涉图样。此外，我们发现引力磁场仅在圆柱壳内部区域非零，却对完全发生在外部区域的干涉产生影响。这一现象是阿哈罗诺夫-玻姆效应的引力类比，后者中，局限于不可达区域的场会影响在无场区域传播的粒子的量子相位。
英文摘要
We study the quantum interference of two paths that enclose a slowly rotating, infinitely long, and infinitely thin cylindrical shell, using the spacetime metric induced by the gravitational source. We show that the rotation of the shell affects the interference pattern even though it does not contribute to the classical motion of particles propagating outside the shell. Furthermore, we find that the gravitomagnetic field is non-vanishing only in the region inside the shell, yet it contributes to the interference taking place entirely in the exterior region. This phenomenon is therefore a gravitational analogue of the Aharonov-Bohm effect, in which a field confined to an inaccessible region influences the quantum phase of particles propagating in a field-free region.
Comments14 pages, 1 figure
