De Broglie relations, gravitational time dilation and weak equivalence principle
文献类型：期刊论文
| 作者 | Xu, Peng2,3 ; Qiang, Li-E1
|
| 刊名 | ANNALS OF PHYSICS
 |
| 出版日期 | 2019 |
| 卷号 | 400页码:128-137 |
| 关键词 | Gravitational time dilation Weak equivalence principle de Broglie relation |
| ISSN号 | 0003-4916 |
| DOI | 10.1016/j.aop.2018.11.007 |
| 英文摘要 | Interplays between quantum physics and gravity have long inspired exciting studies, which reveal subtle connections between quantum laws and the general notion of curved spacetime. One important example is the uniqueness of free-falling motions in both quantum and gravitational physics. In this work, we re-investigate the free-falling motions of quantum test wave packets that are distributed over weakly curved spacetime backgrounds. Except for the de Broglie relations, no assumption of priori given Hamiltonians or least actions satisfied by the quantum system is made. We find that the mean motions of quantum test wave packets can be deduced naturally from the de Broglie relations with a generalized treatment of gravitational time dilations in quantum waves. Such mean motions of quantum test masses in gravitational field are independent of their masses and compositions, and restore exactly the free-falling or geodesic motions of classical test masses in curved spacetime. This suggests a novel perspective that weak equivalence principle, which states the universality of free-fall, may be deeply rooted in quantum physics and be a phenomenon that has emerged from the quantum world. (C) 2018 Elsevier Inc. All rights reserved. |
| 资助项目 | NSFC[11571342] ; National Key R&D Program of China[2017YFC0602202] ; Natural Science Basic Research Plan in Shaanxi Province of China[2017K1028] ; State Key Laboratory of Scientific and Engineering Computing, Chinese Academy of Sciences |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000460086700007 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/33359]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Xu, Peng |
| 作者单位 | 1.Changan Univ, Xian 710064, Shaanxi, Peoples R China 2.Univ Chinese Acad Sci, 19 A Yuquan Rd, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Peng,Qiang, Li-E. De Broglie relations, gravitational time dilation and weak equivalence principle[J]. ANNALS OF PHYSICS,2019,400:128-137. |
| APA | Xu, Peng,&Qiang, Li-E.(2019).De Broglie relations, gravitational time dilation and weak equivalence principle.ANNALS OF PHYSICS,400,128-137. |
| MLA | Xu, Peng,et al."De Broglie relations, gravitational time dilation and weak equivalence principle".ANNALS OF PHYSICS 400(2019):128-137. |
入库方式： OAI收割
来源：数学与系统科学研究院
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