论文标题
对地球原子的惯性和重力作用
Inertial and gravitational effects on a geonium atom
论文作者
论文摘要
我们揭示了地球上非偏见的狄拉克粒子（质量$ m $）的所有线性顺序惯性和重力效应，直到类似于折的wouthuysen样膨胀的$ 1/m $的顺序。将结果应用于dirac粒子在腔体中经历回旋体运动和旋转进动的penning陷阱实验，即地球原子，我们研究了对电子等$ g $ factor的修改。结果表明，重力的每次校正都对回旋频率和质量$ M $都有不同的依赖。因此，它们的幅度会根据情况而变化。在电子$ g $因子测量的特定情况下，对观察到的$ g $ factor的主要校正来自地球旋转的效果，即$ΔG / 2 \ simeq 5.2 \ times 10^{ - 17} $。在不久的将来可以检测到它。
We reveal all linear order inertial and gravitational effects on a non-relativistic Dirac particle (mass $m$) on the Earth up to the order of $1/m$ in the Foldy-Wouthuysen-like expansion. Applying the result to Penning trap experiments where a Dirac particle experiences the cyclotron motion and the spin precession in a cavity, i.e., a geonium atom, we study modifications to the $g$-factor of such as the electron. It is shown that each correction from gravity has different dependence on the cyclotron frequency and the mass $m$. Therefore, their magnitude change depending on situations. In a particular case of an electron $g$-factor measurement, the dominant correction to the observed $g$-factor comes from effects of the Earth's rotation, which is $δg / 2 \simeq 5.2 \times 10^{-17}$. It may be detectable in the near future.
