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Instantaneous Bethe-Salpeter equation and its exact solution
Chang, CH; Chen, JK; Li, XQ; Wang, GL; Chang, CH , CCAST, World Lab, POB 8730, Beijing 100080, Peoples R China.
2005
发表期刊COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN0253-6102
卷号43期号:1页码:113-118
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.
部门归属CCAST, World Lab, Beijing 100080, Peoples R China; Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China; Chinese Acad Sci, Grad Sch, Beijing 100039, Peoples R China; Nankai Univ, Dept Phys, Tianjin 300071, Peoples R China; Fujian Normal Univ, Dept Phys, Fuzhou 350007, Peoples R China
学科领域Physics
收录类别SCI
WOS记录号WOS:000226568300023
引用统计
被引频次:24[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/13902
专题理论物理所SCI论文
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.
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