| Calculation of Gaussian Perturbation on Two Harmonic Oscillators by Virtue of Entangled State Representation |
| |
| 引用本文： | HU Li-Yun ZHOU Nan-Run FAN Hong-Yi. Calculation of Gaussian Perturbation on Two Harmonic Oscillators by Virtue of Entangled State Representation[J]. 理论物理通讯, 2007, 48(4): 629-632 |
| |
| 作者姓名： | HU Li-Yun ZHOU Nan-Run FAN Hong-Yi |
| |
| 作者单位： | [1]Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China [2]Department of Electronics Information Engineering Nanchang University Nanchang 330029 China, Shanghai Jiao Tong University, Shanghai 200030, China |
| |
| 基金项目： | The project supported by National Natural Science Foundation of China under Grant Nos. 10475056 and 10647133 and the Research Foundation of the Education Department of Jiangxi Province under Grant No. [2007]22 |
| |
| 摘 要： |
|
| 关 键 词： | 量子力学 谐振子 高斯扰动 波函数 |
| 收稿时间： | 2006-08-30 |
| 修稿时间： | 2006-05-29 |
Calculation of Gaussian Perturbation on Two Harmonic Oscillators by Virtue of Entangled State Representation |
| |
| YAN Feng-Li,HUO Hai-Rui,. Calculation of Gaussian Perturbation on Two Harmonic Oscillators by Virtue of Entangled State Representation[J]. Communications in Theoretical Physics, 2007, 48(4): 629-632 |
| |
| Authors: | YAN Feng-Li HUO Hai-Rui |
| |
| Abstract: | The exact expressions of Gaussian-perturbation matrix elements in one- and two-mode Fock states are derived by virtue of the technique of integration within an ordered product of operators and the entangled state representation. It turns out that the matrix elements are just related to Gegenbauer polynomial and Hypergeometric function respectively. The 1st- and 2nd-order corrections to the energy levels and the 1st-order correction to wave functions of harmonic oscillator are deduced. |
| |
| Keywords: | harmonic oscillator Gaussian perturbation IWOP technique |
| 本文献已被 维普 等数据库收录！ |
