Relations between low-lying quantum wave functions and solutions of the Hamilton-Jacobi equation
文献类型：期刊论文
| 作者 | 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
 |
| 出版日期 | 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 |
| 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. |
入库方式： OAI收割
来源：高能物理研究所
浏览0
下载0
收藏0
其他版本
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。