Critical radius and dipole polarizability for a confined system |
| |
Authors: | Xu Tian Cao Zhuang-Qi Ou Yong-Cheng Shen Qi-Shun and Zhu Guo-Long |
| |
Affiliation: | Institute of Optics and Photonics, Shanghai Jiaotong University, Shanghai 200240, China; The State Key Laboratory on Fiber-Optic Local Area Networks and Advanced Optical Communication Systems,Shanghai Jiaotong University, Shanghai 200230, China |
| |
Abstract: | The analytical transfer matrix method (ATMM) is applied to
calculating the critical radius $r_{\rm c}$ and the dipole
polarizability $\alpha_{\rm d}$ in two confined systems: the hydrogen
atom and the Hulth\'{e}n potential. We find that there exists a
linear relation between $r_{\rm c}^{1/2}$ and the quantum number $n_{r}$
for a fixed angular quantum number $l$, moreover, the three bounds
of $\alpha_{\rm d}$ ($\alpha_{\rm d}^{K}$, $\alpha_{\rm d}^{B}$,
$\alpha_{\rm d}^{U}$) satisfy an inequality:
$\alpha_{\rm d}^{K}\leq\alpha_{\rm d}^{B}\leq\alpha_{\rm d}^{U}$. A comparison
between the ATMM, the exact numerical analysis, and the variational
wavefunctions shows that our method works very well in the systems. |
| |
Keywords: | ATMM confined system critical radius dipole polarizability |
本文献已被 维普 等数据库收录! |
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
|
点击此处可从《中国物理 B》下载免费的PDF全文 |
|