Homogeneity of Space-time Implies the Free Schrodinger Equation

	Homogeneity of Space-time Implies the Free Schrodinger Equation
	Shan, Gao
刊名	NeuroQuantology
	2014-12-01
卷号	12 期号:4 页码:366-371
关键词	Schrodinger equation wave equations space-time homogeneity space-time translation invariance conservation of energy and momentum
英文摘要	The free Schrodinger equation is shown to be a consequence of space-time homogeneity in the non-relativistic domain. First, we show that space-time translation invariance of natural laws, which is a conseqiuence of space-time homogeneity, entails that the state of a free particle with definite momentum and energy assumes the plane wave form when the time evolution of the state is linear. Next, we show that the conservation of energy and momentum, which is a consequence of space-time translation invariance, may further determine the energy-momentum relation In the non-relativistic domain. These results then lead to the free Schrodinger equation naturally. The new integrated analysis may help understand the origin of the wave equations in quantum theory.
WOS标题词	Science & Technology ; Life Sciences & Biomedicine
类目[WOS]	Neurosciences
研究领域[WOS]	Neurosciences & Neurology
关键词[WOS]	MECHANICS
收录类别	SCI
语种	英语
WOS记录号	WOS:000349007800004
公开日期	2015-12-24
内容类型	期刊论文
源URL	[http://ir.ihns.ac.cn/handle/311051/6567]
专题	自然科学史研究所_科学技术史_世界科技史
作者单位	Chinese Acad Sci, Inst Hist Nat Sci, Beijing 100864, Peoples R China
推荐引用方式 GB/T 7714	Shan, Gao. Homogeneity of Space-time Implies the Free Schrodinger Equation[J]. NeuroQuantology,2014,12(4):366-371.
APA	Shan, Gao.(2014).Homogeneity of Space-time Implies the Free Schrodinger Equation.NeuroQuantology,12(4),366-371.
MLA	Shan, Gao."Homogeneity of Space-time Implies the Free Schrodinger Equation".NeuroQuantology 12.4(2014):366-371.