引力波棒状探测器中的非对易性特征
广义相对论与量子宇宙学
2019-11-27 v1 量子物理
摘要
非对易长度尺度 与引力波探测器中探测到的长度变化 之间的比较表明，在引力波探测器装置中探测空间的非对易结构具有很大可能性。因此，我们探讨了在哈密顿量中保留至引力波扰动 () 二阶项时，棒状探测器的响应如何受到空间非对易结构的影响。有趣的是， 的二阶项显示出基态与某个受扰动的第二激发态之间的跃迁，而当计算仅限于 的一阶项时这种跃迁是不存在的。
引用
@article{arxiv.1908.06030,
title = {Signatures of noncommutativity in bar detectors of gravitational waves},
author = {Sunandan Gangopadhyay and Sukanta Bhattacharyya and Anirban Saha},
journal= {arXiv preprint arXiv:1908.06030},
year = {2019}
}
备注
This write up is based on a talk presented at the XI Bolyai-Gauss-Lobachevsky (BGL-2019) Conference on Non-Euclidean, Non-Commutative Geometry and Quantum Physics, held at the Bogolyubov Institute for Theoretical Physics, Kyiv from 19-24 May,2019 and is based on the work by the authors published in Class.Quant.Grav. 36 (2019) 055006 and contains some new results and observations