Acceleration effects on atomic clocks
General Relativity and Quantum Cosmology
2015-08-26 v2 Atomic Physics
Abstract
We consider a free massive particle inside a box which is dragged by Rindler observers. Admitting that the particle obeys the Klein-Gordon equation, we find the frequencies of the stationary states of this system. Transitions between the stationary states are employed to set a standard frequency for a toy atomic clock. Comparing the energy spectrum of the accelerated system with the energy spectrum of an identical system in an inertial frame, we determine the influence of the instantaneous acceleration on the rate of atomic clocks. We argue that our result does not violate the clock hypothesis.
Cite
@article{arxiv.1412.4960,
title = {Acceleration effects on atomic clocks},
author = {F. Dahia and P. J. Felix de Araujo},
journal= {arXiv preprint arXiv:1412.4960},
year = {2015}
}
Comments
In this version the discussion was improved and calculations are done with more details. To appear in Class. Quant. Grav