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题名:
Homogeneity of Space-time Implies the Free Schrodinger Equation
作者: Shan, Gao
刊名: NeuroQuantology
出版日期: 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
文章类型: Article
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
Citation statistics:
内容类型: 期刊论文
URI标识: http://ir.ihns.ac.cn/handle/311051/6567
Appears in Collections:科学技术史_世界科技史_期刊论文

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作者单位: Chinese Acad Sci, Inst Hist Nat Sci, Beijing 100864, Peoples R China

Recommended Citation:
Shan, Gao. Homogeneity of Space-time Implies the Free Schrodinger Equation[J]. NeuroQuantology,2014-12-01,12(4):366-371.
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