De Broglie relations, gravitational time dilation and weak equivalence principle

doi:10.1016/j.aop.2018.11.007

CSpace > 应用数学研究所

	De Broglie relations, gravitational time dilation and weak equivalence principle
	Xu, Peng1,2 ; Qiang, Li-E 3
	2019
发表期刊	ANNALS OF PHYSICS
ISSN	0003-4916
卷号	400 页码:128-137
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.
关键词	Gravitational time dilation Weak equivalence principle de Broglie relation
DOI	10.1016/j.aop.2018.11.007
语种	英语
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
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000460086700007
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	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.Chinese Acad Sci, Acad Math & Syst Sci, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, 19 A Yuquan Rd, Beijing 100049, Peoples R China 3.Changan Univ, Xian 710064, Shaanxi, 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.