On decaying rate of quantum states

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	On decaying rate of quantum states
	Luo, SL; Zhang, ZM
	2005
发表期刊	LETTERS IN MATHEMATICAL PHYSICS
ISSN	0377-9017
卷号	71 期号:1 页码:1-11
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.
关键词	quantum state survival amplitude Fourier transform moment time-energy uncertainty relations
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000229114900001
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2199
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.