On decaying rate of quantum states
文献类型：期刊论文
| 作者 | Luo, SL ; Zhang, ZM
|
| 刊名 | LETTERS IN MATHEMATICAL PHYSICS
 |
| 出版日期 | 2005 |
| 卷号 | 71期号:1页码:1-11 |
| 关键词 | quantum state survival amplitude Fourier transform moment time-energy uncertainty relations |
| ISSN号 | 0377-9017 |
| 英文摘要 | The survival amplitude of a quantum state (wave function) under the Schrodinger evolution can be expressed as the Fourier transform of the probability density induced by the wave function in the energy representation. In particular, the first zero of the survival amplitude is a fundamental quantity in characterizing the decaying rate of the quantum state. A basic problem in quantum mechanics is to study how fast the survival amplitude can fall. We present a general estimation of the decaying rate of a quantum state in terms of a moment of any order. The result is established by integrating an inequality which involves controlling trigonometric sums by power functions. This inequality is of independent interest in estimating exponential sums. |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000229114900001 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2198]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Luo, SL |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada |
| 推荐引用方式 GB/T 7714 | Luo, SL,Zhang, ZM. On decaying rate of quantum states[J]. LETTERS IN MATHEMATICAL PHYSICS,2005,71(1):1-11. |
| APA | Luo, SL,&Zhang, ZM.(2005).On decaying rate of quantum states.LETTERS IN MATHEMATICAL PHYSICS,71(1),1-11. |
| MLA | Luo, SL,et al."On decaying rate of quantum states".LETTERS IN MATHEMATICAL PHYSICS 71.1(2005):1-11. |
入库方式： OAI收割
来源：数学与系统科学研究院
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