Instantaneous Bethe-Salpeter equation and its exact solution
文献类型：期刊论文
| 作者 | Chang, CH; Chen, JK; Li, XQ; Wang, GL; Chang, CH , CCAST, World Lab, POB 8730, Beijing 100080, Peoples R China. |
| 刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| 出版日期 | 2005 |
| 卷号 | 43期号:1页码:113-118 |
| ISSN号 | 0253-6102 |
| 英文摘要 | We present an approach to solve Bethe-Salpeter (BS) equations exactly without any approximation if the kernel of the BS equations exactly is instantaneous, and take positronium as an example to illustrate the general features of the exact solutions. The key step for the approach is from the BS equations to derive a set of coupled and well-determined integration equations in linear eigenvalue for the components of the BS wave functions equivalenity which may be solvable numerically under a controlled accuracy, even though there is no analytic solution. For positronium, the exact solutions precisely present corrections to those of the corresponding Schrodinger equation in order upsilon(1) (v is the relative velocity) for eigenfunctions, in order upsilon(2) for eigenvalues, and the mixing between S and D components in J(PC) = 1(--) states etc., quantitatively. Moreover, we also point out that there is a questionable step in some existent derivations for the instantaneous BS equations if one is pursuing the exact solutions. Finally, we emphasize that one should take the O(upsilon) corrections emerging in the exact solutions into account accordingly if one is interested in the relativistic corrections for relevant problems to the bound states. |
| 学科主题 | Physics |
| WOS记录号 | WOS:000226568300023 |
| 公开日期 | 2012-08-30 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/13902]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 通讯作者 | Chang, CH , CCAST, World Lab, POB 8730, Beijing 100080, Peoples R China. |
| 推荐引用方式 GB/T 7714 | Chang, CH,Chen, JK,Li, XQ,et al. Instantaneous Bethe-Salpeter equation and its exact solution[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2005,43(1):113-118. |
| APA | Chang, CH,Chen, JK,Li, XQ,Wang, GL,&Chang, CH , CCAST, World Lab, POB 8730, Beijing 100080, Peoples R China..(2005).Instantaneous Bethe-Salpeter equation and its exact solution.COMMUNICATIONS IN THEORETICAL PHYSICS,43(1),113-118. |
| MLA | Chang, CH,et al."Instantaneous Bethe-Salpeter equation and its exact solution".COMMUNICATIONS IN THEORETICAL PHYSICS 43.1(2005):113-118. |
入库方式： OAI收割
来源：理论物理研究所
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