Gauge dependence of spontaneous radiation spectrum of relativistic atomic beam under non-uniform electrostatic field

التفاصيل البيبلوغرافية
العنوان: Gauge dependence of spontaneous radiation spectrum of relativistic atomic beam under non-uniform electrostatic field
المؤلفون: Chen, Xue-Nan, Luo, Yu-Hang, Chen, Xiang-Song
سنة النشر: 2023
المجموعة: Physics (Other)
Quantum Physics
مصطلحات موضوعية: Physics - Atomic Physics, Quantum Physics
الوصف: Gauge theory requires physical observables to be gauge-independent. However, ever since Lamb noticed the problem of gauge selection in calculating atomic spontaneous radiation spectrum, the problem of gauge dependence was encountered in many fields of physics research. Therefore, it is important to test the self-consistency of gauge symmetry for various physical systems. In this paper, we calculate the transient spontaneous radiation spectrum of a relativistic hydrogen atom in the non-uniform electrostatic field under the atomic self-reference frame. The physical system studied in this paper is a frame-transformed version of our recent work [\href{https://link.springer.com/paper/10.1140/epjd/s10053-022-00407-5}{Euro. J. Phys. D \textbf{76}, 84(2022)}] where the radiating object is static while the charge is moving relativistically. The obtained peak frequency can differ by about $413$ $\mathrm{KHz}$ or larger for the commonly used Coulomb, Lorentz, and multipolar gauges. This observation can be significant not only for studying how the gauge field interacts with the quantum system in theory, but also for practical experimental applications, such as the timing accuracy of atomic clocks in the external electromagnetic field.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2309.06811
رقم الأكسشن: edsarx.2309.06811
قاعدة البيانات: arXiv