Note on the Time Dilation of Charged Quantum Clocks
arXiv:2304.04375
Abstract
We derive the time dilation formula for charged quantum clocks in electromagnetic fields. As a concrete example of non-inertial motion, we consider a cyclotron motion in a uniform magnetic field. Applying the time dilation formula to coherent state of the charged quantum clock, we evaluate the time dilation quantum-mechanically.
11 pages, 2 figures, to appear in PRD