Relations between low-lying quantum wave functions and solutions of the Hamilton-Jacobi equation

	Relations between low-lying quantum wave functions and solutions of the Hamilton-Jacobi equation
	Friedberg, R; Lee, TD; Zhao WQ(赵维勤); Zhao, WQ
刊名	NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS
	1999
卷号	112 期号:10 页码:1195-1228
通讯作者	Columbia Univ, Dept Phys, New York, NY 10027 USA ; China Ctr Adv Sci & Technol, World Lab, Beijing 100080, Peoples R China ; RIKEN BNL Res Ctr, Brookhaven Natl Lab, Upton, NY USA ; Acad Sinica, Inst High Energy Phys, Beijing 100039, Peoples R China
英文摘要	We discuss a new relation between the low-lying Schrodinger wave function of a particle in a one-dimensional potential V and the solution of the corresponding Hamilton-Jacobi equation with -V as its potential. The function V is greater than or equal to 0, and can have several minima (V = 0). We assume the problem to be characterized by a small anharmonicity parameter g(-1) and a much smaller quantum tunneling parameter epsilon between these different minima. Expanding either the wave function or its energy as a formal double power series in g(-1) and epsilon we show how the coefficients of g(-m)epsilon(n) in such an expansion can be expressed in terms of definite integrals, with leading-order term determined by the classical solution of the Hamilton-Jacobi equation. A detailed analysis is given for the particular example of quartic potential V = 1/2g(2)(x(2) - a(2))(2).
学科主题	Physics
类目[WOS]	Physics, Particles & Fields
研究领域[WOS]	Physics
原文出处	SCI
语种	英语
WOS记录号	WOS:000085318500011
内容类型	期刊论文
源URL	[http://ir.ihep.ac.cn/handle/311005/239167]
专题	高能物理研究所_理论物理室
作者单位	中国科学院高能物理研究所
推荐引用方式 GB/T 7714	Friedberg, R,Lee, TD,Zhao WQ,et al. Relations between low-lying quantum wave functions and solutions of the Hamilton-Jacobi equation[J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS,1999,112(10):1195-1228.
APA	Friedberg, R,Lee, TD,赵维勤,&Zhao, WQ.(1999).Relations between low-lying quantum wave functions and solutions of the Hamilton-Jacobi equation.NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS,112(10),1195-1228.
MLA	Friedberg, R,et al."Relations between low-lying quantum wave functions and solutions of the Hamilton-Jacobi equation".NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS 112.10(1999):1195-1228.