IHEP OpenIR  > 理论物理室
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
1999
发表期刊NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS
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
文章类型Article
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).
学科领域Physics
研究领域[WOS]Physics ; Physics
URL查看原文
语种英语
研究领域[WOS]Physics ; Physics
WOS类目Physics, Particles & Fields
WOS记录号WOS:000085318500011
引用统计
被引频次:19[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ihep.ac.cn/handle/311005/239167
专题理论物理室
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.
条目包含的文件
文件名称/大小 文献类型 版本类型 开放类型 使用许可
6302.pdf(4400KB)期刊论文作者接受稿限制开放CC BY-NC-SA请求全文
个性服务
推荐该条目
保存到收藏夹
查看访问统计
导出为Endnote文件
谷歌学术
谷歌学术中相似的文章
[Friedberg, R]的文章
[Lee, TD]的文章
[赵维勤]的文章
百度学术
百度学术中相似的文章
[Friedberg, R]的文章
[Lee, TD]的文章
[赵维勤]的文章
必应学术
必应学术中相似的文章
[Friedberg, R]的文章
[Lee, TD]的文章
[赵维勤]的文章
相关权益政策
暂无数据
收藏/分享
所有评论 (0)
暂无评论
 

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。