Homogeneity of Space-time Implies the Free Schrodinger Equation
文献类型：期刊论文
| 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 |
| 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 |
| 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. |
入库方式： OAI收割
来源：自然科学史研究所
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