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题名: Instantaneous Bethe-Salpeter equation and its exact solution
作者: Chang, CH ;  Chen, JK ;  Li, XQ ;  Wang, GL
刊名: COMMUNICATIONS IN THEORETICAL PHYSICS
出版日期: 2005
卷号: 43, 期号:1, 页码:113-118
学科分类: Physics
通讯作者: Chang, CH , CCAST, World Lab, POB 8730, Beijing 100080, Peoples R China.
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
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.
收录类别: SCI
WOS记录号: WOS:000226568300023
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/13902
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
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.
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