On the Sagnac effect and Quantum Mechanics in a Rotating Reference System
Quantum Physics
2018-06-08 v1
Abstract
We canonically quantize a spin-less non-relativistic point particle in a rigidly rotating cylinder symmetric reference system. The resulting quantum mechanics is investigated in the case of both a two-dimensional cylindrical shell and in the case of the full rotating cylinder; in both cases energy eigenstates exist which exhibit rotation induced negative energies. Based on a reanalysis of the classical Sagnac effect a novel way to compute the quantum Sagnac phase shift is deduced. It is pointed out that certain states on both the cylindrical shell and in the bulk give rise to a novel anomalous quantum Sagnac effect.
Cite
@article{arxiv.1806.02710,
title = {On the Sagnac effect and Quantum Mechanics in a Rotating Reference System},
author = {Bjørn Jensen},
journal= {arXiv preprint arXiv:1806.02710},
year = {2018}
}
Comments
2 figures