2018/06/07 by Bjørn Jensen, Jensen, Bjørn
Engineering · Decision Sciences · #Geophysics and Sensor Technology #Scientific Measurement and Uncertainty Evaluation
paper · pdf · doi:10.48550/arxiv.1806.02710
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.